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Finding the Fourth Proportional to 1,505.87, 2,078.91 and 1,387.29

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Solution

The fourth proportional to 1,505.87, 2,078.91 and 1,387.29 is: 1,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.87 : 2,078.91 = 1,387.29 : x
  2. Step 2: Convert to fraction form
    1,505.87/2,078.91 = 1,387.29/x
  3. Step 3: Cross multiply
    1,505.87x = 2,078.91 × 1,387.29
  4. Step 4: Simplify right side
    1,505.87x = 2,884,051.05
  5. Step 5: Solve for x
    x = 2,884,051.05/1,505.87
  6. Step 6: Final answer
    x = 1,915.21

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