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Finding the Fourth Proportional to 2,947.26, 4,419.18 and 1,561.26

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Solution

The fourth proportional to 2,947.26, 4,419.18 and 1,561.26 is: 2,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.26 : 4,419.18 = 1,561.26 : x
  2. Step 2: Convert to fraction form
    2,947.26/4,419.18 = 1,561.26/x
  3. Step 3: Cross multiply
    2,947.26x = 4,419.18 × 1,561.26
  4. Step 4: Simplify right side
    2,947.26x = 6,899,488.97
  5. Step 5: Solve for x
    x = 6,899,488.97/2,947.26
  6. Step 6: Final answer
    x = 2,340.98

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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.