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Finding the Fourth Proportional to 2,219.86, 3,329.80 and 758.98

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Solution

The fourth proportional to 2,219.86, 3,329.80 and 758.98 is: 1,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.86 : 3,329.80 = 758.98 : x
  2. Step 2: Convert to fraction form
    2,219.86/3,329.80 = 758.98/x
  3. Step 3: Cross multiply
    2,219.86x = 3,329.80 × 758.98
  4. Step 4: Simplify right side
    2,219.86x = 2,527,251.60
  5. Step 5: Solve for x
    x = 2,527,251.60/2,219.86
  6. Step 6: Final answer
    x = 1,138.47

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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.