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Finding the Fourth Proportional to 2,213.55, 3,320.61 and 752.31

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Solution

The fourth proportional to 2,213.55, 3,320.61 and 752.31 is: 1,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.55 : 3,320.61 = 752.31 : x
  2. Step 2: Convert to fraction form
    2,213.55/3,320.61 = 752.31/x
  3. Step 3: Cross multiply
    2,213.55x = 3,320.61 × 752.31
  4. Step 4: Simplify right side
    2,213.55x = 2,498,128.11
  5. Step 5: Solve for x
    x = 2,498,128.11/2,213.55
  6. Step 6: Final answer
    x = 1,128.56

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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.