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Finding the Fourth Proportional to 2,375.02, 3,563.03 and 731.49

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Solution

The fourth proportional to 2,375.02, 3,563.03 and 731.49 is: 1,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.02 : 3,563.03 = 731.49 : x
  2. Step 2: Convert to fraction form
    2,375.02/3,563.03 = 731.49/x
  3. Step 3: Cross multiply
    2,375.02x = 3,563.03 × 731.49
  4. Step 4: Simplify right side
    2,375.02x = 2,606,320.81
  5. Step 5: Solve for x
    x = 2,606,320.81/2,375.02
  6. Step 6: Final answer
    x = 1,097.39

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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.