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Finding the Fourth Proportional to 2,947.88, 4,422.45 and 867.71

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Solution

The fourth proportional to 2,947.88, 4,422.45 and 867.71 is: 1,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.88 : 4,422.45 = 867.71 : x
  2. Step 2: Convert to fraction form
    2,947.88/4,422.45 = 867.71/x
  3. Step 3: Cross multiply
    2,947.88x = 4,422.45 × 867.71
  4. Step 4: Simplify right side
    2,947.88x = 3,837,418.40
  5. Step 5: Solve for x
    x = 3,837,418.40/2,947.88
  6. Step 6: Final answer
    x = 1,301.75

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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.