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Finding the Fourth Proportional to 2,219.62, 3,329.19 and 758.59

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Solution

The fourth proportional to 2,219.62, 3,329.19 and 758.59 is: 1,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.62 : 3,329.19 = 758.59 : x
  2. Step 2: Convert to fraction form
    2,219.62/3,329.19 = 758.59/x
  3. Step 3: Cross multiply
    2,219.62x = 3,329.19 × 758.59
  4. Step 4: Simplify right side
    2,219.62x = 2,525,490.24
  5. Step 5: Solve for x
    x = 2,525,490.24/2,219.62
  6. Step 6: Final answer
    x = 1,137.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.