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Finding the Fourth Proportional to 2,073.65, 3,110.41 and 841.03

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Solution

The fourth proportional to 2,073.65, 3,110.41 and 841.03 is: 1,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.65 : 3,110.41 = 841.03 : x
  2. Step 2: Convert to fraction form
    2,073.65/3,110.41 = 841.03/x
  3. Step 3: Cross multiply
    2,073.65x = 3,110.41 × 841.03
  4. Step 4: Simplify right side
    2,073.65x = 2,615,928.37
  5. Step 5: Solve for x
    x = 2,615,928.37/2,073.65
  6. Step 6: Final answer
    x = 1,261.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.