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Finding the Fourth Proportional to 2,565.61, 3,845.85 and 1,003.47

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Solution

The fourth proportional to 2,565.61, 3,845.85 and 1,003.47 is: 1,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.61 : 3,845.85 = 1,003.47 : x
  2. Step 2: Convert to fraction form
    2,565.61/3,845.85 = 1,003.47/x
  3. Step 3: Cross multiply
    2,565.61x = 3,845.85 × 1,003.47
  4. Step 4: Simplify right side
    2,565.61x = 3,859,195.10
  5. Step 5: Solve for x
    x = 3,859,195.10/2,565.61
  6. Step 6: Final answer
    x = 1,504.20

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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.