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Finding the Fourth Proportional to 2,239.08, 3,358.11 and 678.71

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Solution

The fourth proportional to 2,239.08, 3,358.11 and 678.71 is: 1,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.08 : 3,358.11 = 678.71 : x
  2. Step 2: Convert to fraction form
    2,239.08/3,358.11 = 678.71/x
  3. Step 3: Cross multiply
    2,239.08x = 3,358.11 × 678.71
  4. Step 4: Simplify right side
    2,239.08x = 2,279,193.78
  5. Step 5: Solve for x
    x = 2,279,193.78/2,239.08
  6. Step 6: Final answer
    x = 1,017.92

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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.