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Finding the Fourth Proportional to 2,876.82, 4,311.71 and 1,489.37

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Solution

The fourth proportional to 2,876.82, 4,311.71 and 1,489.37 is: 2,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.82 : 4,311.71 = 1,489.37 : x
  2. Step 2: Convert to fraction form
    2,876.82/4,311.71 = 1,489.37/x
  3. Step 3: Cross multiply
    2,876.82x = 4,311.71 × 1,489.37
  4. Step 4: Simplify right side
    2,876.82x = 6,421,728.17
  5. Step 5: Solve for x
    x = 6,421,728.17/2,876.82
  6. Step 6: Final answer
    x = 2,232.23

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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.