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Finding the Fourth Proportional to 2,876.13, 4,314.15 and 901.80

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Solution

The fourth proportional to 2,876.13, 4,314.15 and 901.80 is: 1,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.13 : 4,314.15 = 901.80 : x
  2. Step 2: Convert to fraction form
    2,876.13/4,314.15 = 901.80/x
  3. Step 3: Cross multiply
    2,876.13x = 4,314.15 × 901.80
  4. Step 4: Simplify right side
    2,876.13x = 3,890,500.47
  5. Step 5: Solve for x
    x = 3,890,500.47/2,876.13
  6. Step 6: Final answer
    x = 1,352.69

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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.