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Finding the Fourth Proportional to 1,672.78, 2,508.44 and 892.61

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Solution

The fourth proportional to 1,672.78, 2,508.44 and 892.61 is: 1,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.78 : 2,508.44 = 892.61 : x
  2. Step 2: Convert to fraction form
    1,672.78/2,508.44 = 892.61/x
  3. Step 3: Cross multiply
    1,672.78x = 2,508.44 × 892.61
  4. Step 4: Simplify right side
    1,672.78x = 2,239,051.27
  5. Step 5: Solve for x
    x = 2,239,051.27/1,672.78
  6. Step 6: Final answer
    x = 1,338.52

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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.