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Finding the Fourth Proportional to 2,565.54, 3,540.45 and 1,446.49

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Solution

The fourth proportional to 2,565.54, 3,540.45 and 1,446.49 is: 1,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.54 : 3,540.45 = 1,446.49 : x
  2. Step 2: Convert to fraction form
    2,565.54/3,540.45 = 1,446.49/x
  3. Step 3: Cross multiply
    2,565.54x = 3,540.45 × 1,446.49
  4. Step 4: Simplify right side
    2,565.54x = 5,121,216.67
  5. Step 5: Solve for x
    x = 5,121,216.67/2,565.54
  6. Step 6: Final answer
    x = 1,996.16

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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.