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Finding the Fourth Proportional to 2,375.14, 3,563.07 and 731.53

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Solution

The fourth proportional to 2,375.14, 3,563.07 and 731.53 is: 1,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.14 : 3,563.07 = 731.53 : x
  2. Step 2: Convert to fraction form
    2,375.14/3,563.07 = 731.53/x
  3. Step 3: Cross multiply
    2,375.14x = 3,563.07 × 731.53
  4. Step 4: Simplify right side
    2,375.14x = 2,606,492.60
  5. Step 5: Solve for x
    x = 2,606,492.60/2,375.14
  6. Step 6: Final answer
    x = 1,097.41

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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.