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Finding the Fourth Proportional to 2,684.59, 3,704.84 and 1,565.35

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Solution

The fourth proportional to 2,684.59, 3,704.84 and 1,565.35 is: 2,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.59 : 3,704.84 = 1,565.35 : x
  2. Step 2: Convert to fraction form
    2,684.59/3,704.84 = 1,565.35/x
  3. Step 3: Cross multiply
    2,684.59x = 3,704.84 × 1,565.35
  4. Step 4: Simplify right side
    2,684.59x = 5,799,371.29
  5. Step 5: Solve for x
    x = 5,799,371.29/2,684.59
  6. Step 6: Final answer
    x = 2,160.24

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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.