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Finding the Fourth Proportional to 1,737.29, 2,616.27 and 1,565.98

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Solution

The fourth proportional to 1,737.29, 2,616.27 and 1,565.98 is: 2,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.29 : 2,616.27 = 1,565.98 : x
  2. Step 2: Convert to fraction form
    1,737.29/2,616.27 = 1,565.98/x
  3. Step 3: Cross multiply
    1,737.29x = 2,616.27 × 1,565.98
  4. Step 4: Simplify right side
    1,737.29x = 4,097,026.49
  5. Step 5: Solve for x
    x = 4,097,026.49/1,737.29
  6. Step 6: Final answer
    x = 2,358.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.