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Finding the Fourth Proportional to 2,947.98, 4,414.16 and 2,360.22

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Solution

The fourth proportional to 2,947.98, 4,414.16 and 2,360.22 is: 3,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.98 : 4,414.16 = 2,360.22 : x
  2. Step 2: Convert to fraction form
    2,947.98/4,414.16 = 2,360.22/x
  3. Step 3: Cross multiply
    2,947.98x = 4,414.16 × 2,360.22
  4. Step 4: Simplify right side
    2,947.98x = 10,418,388.72
  5. Step 5: Solve for x
    x = 10,418,388.72/2,947.98
  6. Step 6: Final answer
    x = 3,534.08

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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.