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Finding the Fourth Proportional to 2,200.68, 3,301.14 and 557.24

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Solution

The fourth proportional to 2,200.68, 3,301.14 and 557.24 is: 835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.68 : 3,301.14 = 557.24 : x
  2. Step 2: Convert to fraction form
    2,200.68/3,301.14 = 557.24/x
  3. Step 3: Cross multiply
    2,200.68x = 3,301.14 × 557.24
  4. Step 4: Simplify right side
    2,200.68x = 1,839,535.27
  5. Step 5: Solve for x
    x = 1,839,535.27/2,200.68
  6. Step 6: Final answer
    x = 835.89

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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.