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Finding the Fourth Proportional to 2,288.43, 3,433.97 and 972.09

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Solution

The fourth proportional to 2,288.43, 3,433.97 and 972.09 is: 1,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.43 : 3,433.97 = 972.09 : x
  2. Step 2: Convert to fraction form
    2,288.43/3,433.97 = 972.09/x
  3. Step 3: Cross multiply
    2,288.43x = 3,433.97 × 972.09
  4. Step 4: Simplify right side
    2,288.43x = 3,338,123.04
  5. Step 5: Solve for x
    x = 3,338,123.04/2,288.43
  6. Step 6: Final answer
    x = 1,458.70

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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.