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Finding the Fourth Proportional to 2,947.18, 4,418.02 and 2,023.17

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Solution

The fourth proportional to 2,947.18, 4,418.02 and 2,023.17 is: 3,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.18 : 4,418.02 = 2,023.17 : x
  2. Step 2: Convert to fraction form
    2,947.18/4,418.02 = 2,023.17/x
  3. Step 3: Cross multiply
    2,947.18x = 4,418.02 × 2,023.17
  4. Step 4: Simplify right side
    2,947.18x = 8,938,424.16
  5. Step 5: Solve for x
    x = 8,938,424.16/2,947.18
  6. Step 6: Final answer
    x = 3,032.87

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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.