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Finding the Fourth Proportional to 2,219.52, 3,328.32 and 758.40

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Solution

The fourth proportional to 2,219.52, 3,328.32 and 758.40 is: 1,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.52 : 3,328.32 = 758.40 : x
  2. Step 2: Convert to fraction form
    2,219.52/3,328.32 = 758.40/x
  3. Step 3: Cross multiply
    2,219.52x = 3,328.32 × 758.40
  4. Step 4: Simplify right side
    2,219.52x = 2,524,197.89
  5. Step 5: Solve for x
    x = 2,524,197.89/2,219.52
  6. Step 6: Final answer
    x = 1,137.27

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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.