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Finding the Fourth Proportional to 1,608.76, 2,220.15 and 1,328.86

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Solution

The fourth proportional to 1,608.76, 2,220.15 and 1,328.86 is: 1,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.76 : 2,220.15 = 1,328.86 : x
  2. Step 2: Convert to fraction form
    1,608.76/2,220.15 = 1,328.86/x
  3. Step 3: Cross multiply
    1,608.76x = 2,220.15 × 1,328.86
  4. Step 4: Simplify right side
    1,608.76x = 2,950,268.53
  5. Step 5: Solve for x
    x = 2,950,268.53/1,608.76
  6. Step 6: Final answer
    x = 1,833.88

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.