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Finding the Fourth Proportional to 2,575.34, 3,863.03 and 627.53

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Solution

The fourth proportional to 2,575.34, 3,863.03 and 627.53 is: 941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.34 : 3,863.03 = 627.53 : x
  2. Step 2: Convert to fraction form
    2,575.34/3,863.03 = 627.53/x
  3. Step 3: Cross multiply
    2,575.34x = 3,863.03 × 627.53
  4. Step 4: Simplify right side
    2,575.34x = 2,424,166.49
  5. Step 5: Solve for x
    x = 2,424,166.49/2,575.34
  6. Step 6: Final answer
    x = 941.30

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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.