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Finding the Fourth Proportional to 2,265.57, 3,397.86 and 1,649.61

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Solution

The fourth proportional to 2,265.57, 3,397.86 and 1,649.61 is: 2,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.57 : 3,397.86 = 1,649.61 : x
  2. Step 2: Convert to fraction form
    2,265.57/3,397.86 = 1,649.61/x
  3. Step 3: Cross multiply
    2,265.57x = 3,397.86 × 1,649.61
  4. Step 4: Simplify right side
    2,265.57x = 5,605,143.83
  5. Step 5: Solve for x
    x = 5,605,143.83/2,265.57
  6. Step 6: Final answer
    x = 2,474.05

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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.