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Finding the Fourth Proportional to 1,575.47, 2,175.17 and 1,220.73

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Solution

The fourth proportional to 1,575.47, 2,175.17 and 1,220.73 is: 1,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.47 : 2,175.17 = 1,220.73 : x
  2. Step 2: Convert to fraction form
    1,575.47/2,175.17 = 1,220.73/x
  3. Step 3: Cross multiply
    1,575.47x = 2,175.17 × 1,220.73
  4. Step 4: Simplify right side
    1,575.47x = 2,655,289.17
  5. Step 5: Solve for x
    x = 2,655,289.17/1,575.47
  6. Step 6: Final answer
    x = 1,685.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.