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Finding the Fourth Proportional to 2,014.75, 2,781.03 and 1,333.41

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Solution

The fourth proportional to 2,014.75, 2,781.03 and 1,333.41 is: 1,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.75 : 2,781.03 = 1,333.41 : x
  2. Step 2: Convert to fraction form
    2,014.75/2,781.03 = 1,333.41/x
  3. Step 3: Cross multiply
    2,014.75x = 2,781.03 × 1,333.41
  4. Step 4: Simplify right side
    2,014.75x = 3,708,253.21
  5. Step 5: Solve for x
    x = 3,708,253.21/2,014.75
  6. Step 6: Final answer
    x = 1,840.55

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Half scale
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Double scale
Find fourth proportional to 2,015.75, 2,782.41 and 1,334.41
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.