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Finding the Fourth Proportional to 2,565.66, 3,540.36 and 1,446.50

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Solution

The fourth proportional to 2,565.66, 3,540.36 and 1,446.50 is: 1,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.66 : 3,540.36 = 1,446.50 : x
  2. Step 2: Convert to fraction form
    2,565.66/3,540.36 = 1,446.50/x
  3. Step 3: Cross multiply
    2,565.66x = 3,540.36 × 1,446.50
  4. Step 4: Simplify right side
    2,565.66x = 5,121,113.04
  5. Step 5: Solve for x
    x = 5,121,113.04/2,565.66
  6. Step 6: Final answer
    x = 1,996.02

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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.