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Finding the Fourth Proportional to 2,714.33, 4,066.23 and 1,540.78

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Solution

The fourth proportional to 2,714.33, 4,066.23 and 1,540.78 is: 2,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.33 : 4,066.23 = 1,540.78 : x
  2. Step 2: Convert to fraction form
    2,714.33/4,066.23 = 1,540.78/x
  3. Step 3: Cross multiply
    2,714.33x = 4,066.23 × 1,540.78
  4. Step 4: Simplify right side
    2,714.33x = 6,265,165.86
  5. Step 5: Solve for x
    x = 6,265,165.86/2,714.33
  6. Step 6: Final answer
    x = 2,308.19

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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.