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Finding the Fourth Proportional to 1,863.06, 2,565.09 and 1,737.30

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Solution

The fourth proportional to 1,863.06, 2,565.09 and 1,737.30 is: 2,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.06 : 2,565.09 = 1,737.30 : x
  2. Step 2: Convert to fraction form
    1,863.06/2,565.09 = 1,737.30/x
  3. Step 3: Cross multiply
    1,863.06x = 2,565.09 × 1,737.30
  4. Step 4: Simplify right side
    1,863.06x = 4,456,330.86
  5. Step 5: Solve for x
    x = 4,456,330.86/1,863.06
  6. Step 6: Final answer
    x = 2,391.94

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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.