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Finding the Fourth Proportional to 2,876.54, 4,314.38 and 901.71

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Solution

The fourth proportional to 2,876.54, 4,314.38 and 901.71 is: 1,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.54 : 4,314.38 = 901.71 : x
  2. Step 2: Convert to fraction form
    2,876.54/4,314.38 = 901.71/x
  3. Step 3: Cross multiply
    2,876.54x = 4,314.38 × 901.71
  4. Step 4: Simplify right side
    2,876.54x = 3,890,315.08
  5. Step 5: Solve for x
    x = 3,890,315.08/2,876.54
  6. Step 6: Final answer
    x = 1,352.43

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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.