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Finding the Fourth Proportional to 2,356.44, 3,251.91 and 1,472.76

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Solution

The fourth proportional to 2,356.44, 3,251.91 and 1,472.76 is: 2,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.44 : 3,251.91 = 1,472.76 : x
  2. Step 2: Convert to fraction form
    2,356.44/3,251.91 = 1,472.76/x
  3. Step 3: Cross multiply
    2,356.44x = 3,251.91 × 1,472.76
  4. Step 4: Simplify right side
    2,356.44x = 4,789,282.97
  5. Step 5: Solve for x
    x = 4,789,282.97/2,356.44
  6. Step 6: Final answer
    x = 2,032.42

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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.