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Finding the Fourth Proportional to 2,130.38, 3,195.72 and 724.23

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Solution

The fourth proportional to 2,130.38, 3,195.72 and 724.23 is: 1,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.38 : 3,195.72 = 724.23 : x
  2. Step 2: Convert to fraction form
    2,130.38/3,195.72 = 724.23/x
  3. Step 3: Cross multiply
    2,130.38x = 3,195.72 × 724.23
  4. Step 4: Simplify right side
    2,130.38x = 2,314,434.54
  5. Step 5: Solve for x
    x = 2,314,434.54/2,130.38
  6. Step 6: Final answer
    x = 1,086.39

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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.