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Finding the Fourth Proportional to 2,339.72, 3,510.26 and 758.42

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Solution

The fourth proportional to 2,339.72, 3,510.26 and 758.42 is: 1,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.72 : 3,510.26 = 758.42 : x
  2. Step 2: Convert to fraction form
    2,339.72/3,510.26 = 758.42/x
  3. Step 3: Cross multiply
    2,339.72x = 3,510.26 × 758.42
  4. Step 4: Simplify right side
    2,339.72x = 2,662,251.39
  5. Step 5: Solve for x
    x = 2,662,251.39/2,339.72
  6. Step 6: Final answer
    x = 1,137.85

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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.