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Finding the Fourth Proportional to 2,947.48, 4,421.97 and 867.56

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Solution

The fourth proportional to 2,947.48, 4,421.97 and 867.56 is: 1,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.48 : 4,421.97 = 867.56 : x
  2. Step 2: Convert to fraction form
    2,947.48/4,421.97 = 867.56/x
  3. Step 3: Cross multiply
    2,947.48x = 4,421.97 × 867.56
  4. Step 4: Simplify right side
    2,947.48x = 3,836,324.29
  5. Step 5: Solve for x
    x = 3,836,324.29/2,947.48
  6. Step 6: Final answer
    x = 1,301.56

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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.