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Finding the Fourth Proportional to 1,672.54, 2,508.43 and 562.11

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Solution

The fourth proportional to 1,672.54, 2,508.43 and 562.11 is: 843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.54 : 2,508.43 = 562.11 : x
  2. Step 2: Convert to fraction form
    1,672.54/2,508.43 = 562.11/x
  3. Step 3: Cross multiply
    1,672.54x = 2,508.43 × 562.11
  4. Step 4: Simplify right side
    1,672.54x = 1,410,013.59
  5. Step 5: Solve for x
    x = 1,410,013.59/1,672.54
  6. Step 6: Final answer
    x = 843.04

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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.