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Finding the Fourth Proportional to 2,105.52, 3,157.56 and 872.58

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Solution

The fourth proportional to 2,105.52, 3,157.56 and 872.58 is: 1,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.52 : 3,157.56 = 872.58 : x
  2. Step 2: Convert to fraction form
    2,105.52/3,157.56 = 872.58/x
  3. Step 3: Cross multiply
    2,105.52x = 3,157.56 × 872.58
  4. Step 4: Simplify right side
    2,105.52x = 2,755,223.70
  5. Step 5: Solve for x
    x = 2,755,223.70/2,105.52
  6. Step 6: Final answer
    x = 1,308.57

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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.