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Finding the Fourth Proportional to 2,687.78, 4,034.14 and 1,456.11

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Solution

The fourth proportional to 2,687.78, 4,034.14 and 1,456.11 is: 2,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.78 : 4,034.14 = 1,456.11 : x
  2. Step 2: Convert to fraction form
    2,687.78/4,034.14 = 1,456.11/x
  3. Step 3: Cross multiply
    2,687.78x = 4,034.14 × 1,456.11
  4. Step 4: Simplify right side
    2,687.78x = 5,874,147.96
  5. Step 5: Solve for x
    x = 5,874,147.96/2,687.78
  6. Step 6: Final answer
    x = 2,185.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.