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Finding the Fourth Proportional to 2,714.42, 4,072.26 and 865.28

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Solution

The fourth proportional to 2,714.42, 4,072.26 and 865.28 is: 1,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.42 : 4,072.26 = 865.28 : x
  2. Step 2: Convert to fraction form
    2,714.42/4,072.26 = 865.28/x
  3. Step 3: Cross multiply
    2,714.42x = 4,072.26 × 865.28
  4. Step 4: Simplify right side
    2,714.42x = 3,523,645.13
  5. Step 5: Solve for x
    x = 3,523,645.13/2,714.42
  6. Step 6: Final answer
    x = 1,298.12

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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.