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Finding the Fourth Proportional to 2,684.49, 3,704.44 and 1,565.61

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Solution

The fourth proportional to 2,684.49, 3,704.44 and 1,565.61 is: 2,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.49 : 3,704.44 = 1,565.61 : x
  2. Step 2: Convert to fraction form
    2,684.49/3,704.44 = 1,565.61/x
  3. Step 3: Cross multiply
    2,684.49x = 3,704.44 × 1,565.61
  4. Step 4: Simplify right side
    2,684.49x = 5,799,708.31
  5. Step 5: Solve for x
    x = 5,799,708.31/2,684.49
  6. Step 6: Final answer
    x = 2,160.45

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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.