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Finding the Fourth Proportional to 1,557.66, 2,329.60 and 1,385.54

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Solution

The fourth proportional to 1,557.66, 2,329.60 and 1,385.54 is: 2,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.66 : 2,329.60 = 1,385.54 : x
  2. Step 2: Convert to fraction form
    1,557.66/2,329.60 = 1,385.54/x
  3. Step 3: Cross multiply
    1,557.66x = 2,329.60 × 1,385.54
  4. Step 4: Simplify right side
    1,557.66x = 3,227,753.98
  5. Step 5: Solve for x
    x = 3,227,753.98/1,557.66
  6. Step 6: Final answer
    x = 2,072.18

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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.