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Finding the Fourth Proportional to 2,991.87, 4,126.85 and 2,281.10

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Solution

The fourth proportional to 2,991.87, 4,126.85 and 2,281.10 is: 3,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.87 : 4,126.85 = 2,281.10 : x
  2. Step 2: Convert to fraction form
    2,991.87/4,126.85 = 2,281.10/x
  3. Step 3: Cross multiply
    2,991.87x = 4,126.85 × 2,281.10
  4. Step 4: Simplify right side
    2,991.87x = 9,413,734.05
  5. Step 5: Solve for x
    x = 9,413,734.05/2,991.87
  6. Step 6: Final answer
    x = 3,146.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.