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Finding the Fourth Proportional to 1,654.47, 2,478.15 and 1,557.54

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Solution

The fourth proportional to 1,654.47, 2,478.15 and 1,557.54 is: 2,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.47 : 2,478.15 = 1,557.54 : x
  2. Step 2: Convert to fraction form
    1,654.47/2,478.15 = 1,557.54/x
  3. Step 3: Cross multiply
    1,654.47x = 2,478.15 × 1,557.54
  4. Step 4: Simplify right side
    1,654.47x = 3,859,817.75
  5. Step 5: Solve for x
    x = 3,859,817.75/1,654.47
  6. Step 6: Final answer
    x = 2,332.96

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