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Finding the Fourth Proportional to 2,714.89, 4,071.87 and 1,233.65

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Solution

The fourth proportional to 2,714.89, 4,071.87 and 1,233.65 is: 1,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.89 : 4,071.87 = 1,233.65 : x
  2. Step 2: Convert to fraction form
    2,714.89/4,071.87 = 1,233.65/x
  3. Step 3: Cross multiply
    2,714.89x = 4,071.87 × 1,233.65
  4. Step 4: Simplify right side
    2,714.89x = 5,023,262.43
  5. Step 5: Solve for x
    x = 5,023,262.43/2,714.89
  6. Step 6: Final answer
    x = 1,850.26

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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.