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Finding the Fourth Proportional to 1,338.04, 2,002.92 and 972.73

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Solution

The fourth proportional to 1,338.04, 2,002.92 and 972.73 is: 1,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.04 : 2,002.92 = 972.73 : x
  2. Step 2: Convert to fraction form
    1,338.04/2,002.92 = 972.73/x
  3. Step 3: Cross multiply
    1,338.04x = 2,002.92 × 972.73
  4. Step 4: Simplify right side
    1,338.04x = 1,948,300.37
  5. Step 5: Solve for x
    x = 1,948,300.37/1,338.04
  6. Step 6: Final answer
    x = 1,456.09

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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.