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Finding the Fourth Proportional to 2,565.71, 3,540.75 and 1,446.58

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Solution

The fourth proportional to 2,565.71, 3,540.75 and 1,446.58 is: 1,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.71 : 3,540.75 = 1,446.58 : x
  2. Step 2: Convert to fraction form
    2,565.71/3,540.75 = 1,446.58/x
  3. Step 3: Cross multiply
    2,565.71x = 3,540.75 × 1,446.58
  4. Step 4: Simplify right side
    2,565.71x = 5,121,978.14
  5. Step 5: Solve for x
    x = 5,121,978.14/2,565.71
  6. Step 6: Final answer
    x = 1,996.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.