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Finding the Fourth Proportional to 4,097.43, 6,144.93 and 1,500.57

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Solution

The fourth proportional to 4,097.43, 6,144.93 and 1,500.57 is: 2,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.43 : 6,144.93 = 1,500.57 : x
  2. Step 2: Convert to fraction form
    4,097.43/6,144.93 = 1,500.57/x
  3. Step 3: Cross multiply
    4,097.43x = 6,144.93 × 1,500.57
  4. Step 4: Simplify right side
    4,097.43x = 9,220,897.61
  5. Step 5: Solve for x
    x = 9,220,897.61/4,097.43
  6. Step 6: Final answer
    x = 2,250.41

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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.