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Finding the Fourth Proportional to 1,487.90, 2,038.41 and 1,432.50

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Solution

The fourth proportional to 1,487.90, 2,038.41 and 1,432.50 is: 1,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.90 : 2,038.41 = 1,432.50 : x
  2. Step 2: Convert to fraction form
    1,487.90/2,038.41 = 1,432.50/x
  3. Step 3: Cross multiply
    1,487.90x = 2,038.41 × 1,432.50
  4. Step 4: Simplify right side
    1,487.90x = 2,920,022.33
  5. Step 5: Solve for x
    x = 2,920,022.33/1,487.90
  6. Step 6: Final answer
    x = 1,962.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.