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Finding the Fourth Proportional to 1,957.78, 2,703 and 1,432.90

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Solution

The fourth proportional to 1,957.78, 2,703 and 1,432.90 is: 1,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.78 : 2,703 = 1,432.90 : x
  2. Step 2: Convert to fraction form
    1,957.78/2,703 = 1,432.90/x
  3. Step 3: Cross multiply
    1,957.78x = 2,703 × 1,432.90
  4. Step 4: Simplify right side
    1,957.78x = 3,873,128.70
  5. Step 5: Solve for x
    x = 3,873,128.70/1,957.78
  6. Step 6: Final answer
    x = 1,978.33

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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.