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Finding the Fourth Proportional to 2,684.88, 3,704.52 and 1,565.28

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Solution

The fourth proportional to 2,684.88, 3,704.52 and 1,565.28 is: 2,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.88 : 3,704.52 = 1,565.28 : x
  2. Step 2: Convert to fraction form
    2,684.88/3,704.52 = 1,565.28/x
  3. Step 3: Cross multiply
    2,684.88x = 3,704.52 × 1,565.28
  4. Step 4: Simplify right side
    2,684.88x = 5,798,611.07
  5. Step 5: Solve for x
    x = 5,798,611.07/2,684.88
  6. Step 6: Final answer
    x = 2,159.73

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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.