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Finding the Fourth Proportional to 2,565.14, 3,847.70 and 617.36

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Solution

The fourth proportional to 2,565.14, 3,847.70 and 617.36 is: 926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.14 : 3,847.70 = 617.36 : x
  2. Step 2: Convert to fraction form
    2,565.14/3,847.70 = 617.36/x
  3. Step 3: Cross multiply
    2,565.14x = 3,847.70 × 617.36
  4. Step 4: Simplify right side
    2,565.14x = 2,375,398.38
  5. Step 5: Solve for x
    x = 2,375,398.38/2,565.14
  6. Step 6: Final answer
    x = 926.03

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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.