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Finding the Fourth Proportional to 2,247.65, 3,371.39 and 687.59

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Solution

The fourth proportional to 2,247.65, 3,371.39 and 687.59 is: 1,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.65 : 3,371.39 = 687.59 : x
  2. Step 2: Convert to fraction form
    2,247.65/3,371.39 = 687.59/x
  3. Step 3: Cross multiply
    2,247.65x = 3,371.39 × 687.59
  4. Step 4: Simplify right side
    2,247.65x = 2,318,113.76
  5. Step 5: Solve for x
    x = 2,318,113.76/2,247.65
  6. Step 6: Final answer
    x = 1,031.35

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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.