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Finding the Fourth Proportional to 1,542.96, 2,129.27 and 844.33

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Solution

The fourth proportional to 1,542.96, 2,129.27 and 844.33 is: 1,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.96 : 2,129.27 = 844.33 : x
  2. Step 2: Convert to fraction form
    1,542.96/2,129.27 = 844.33/x
  3. Step 3: Cross multiply
    1,542.96x = 2,129.27 × 844.33
  4. Step 4: Simplify right side
    1,542.96x = 1,797,806.54
  5. Step 5: Solve for x
    x = 1,797,806.54/1,542.96
  6. Step 6: Final answer
    x = 1,165.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.