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Finding the Fourth Proportional to 2,944.31, 4,414.03 and 2,017.58

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Solution

The fourth proportional to 2,944.31, 4,414.03 and 2,017.58 is: 3,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.31 : 4,414.03 = 2,017.58 : x
  2. Step 2: Convert to fraction form
    2,944.31/4,414.03 = 2,017.58/x
  3. Step 3: Cross multiply
    2,944.31x = 4,414.03 × 2,017.58
  4. Step 4: Simplify right side
    2,944.31x = 8,905,631.53
  5. Step 5: Solve for x
    x = 8,905,631.53/2,944.31
  6. Step 6: Final answer
    x = 3,024.70

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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.