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Finding the Fourth Proportional to 2,149.64, 3,224.56 and 688.80

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Solution

The fourth proportional to 2,149.64, 3,224.56 and 688.80 is: 1,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.64 : 3,224.56 = 688.80 : x
  2. Step 2: Convert to fraction form
    2,149.64/3,224.56 = 688.80/x
  3. Step 3: Cross multiply
    2,149.64x = 3,224.56 × 688.80
  4. Step 4: Simplify right side
    2,149.64x = 2,221,088.59
  5. Step 5: Solve for x
    x = 2,221,088.59/2,149.64
  6. Step 6: Final answer
    x = 1,033.24

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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.