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Finding the Fourth Proportional to 2,214.33, 3,321.04 and 752.69

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Solution

The fourth proportional to 2,214.33, 3,321.04 and 752.69 is: 1,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.33 : 3,321.04 = 752.69 : x
  2. Step 2: Convert to fraction form
    2,214.33/3,321.04 = 752.69/x
  3. Step 3: Cross multiply
    2,214.33x = 3,321.04 × 752.69
  4. Step 4: Simplify right side
    2,214.33x = 2,499,696.99
  5. Step 5: Solve for x
    x = 2,499,696.99/2,214.33
  6. Step 6: Final answer
    x = 1,128.87

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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.