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Finding the Fourth Proportional to 2,565.74, 3,540.38 and 1,446.53

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Solution

The fourth proportional to 2,565.74, 3,540.38 and 1,446.53 is: 1,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.74 : 3,540.38 = 1,446.53 : x
  2. Step 2: Convert to fraction form
    2,565.74/3,540.38 = 1,446.53/x
  3. Step 3: Cross multiply
    2,565.74x = 3,540.38 × 1,446.53
  4. Step 4: Simplify right side
    2,565.74x = 5,121,240.95
  5. Step 5: Solve for x
    x = 5,121,240.95/2,565.74
  6. Step 6: Final answer
    x = 1,996.01

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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.