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Finding the Fourth Proportional to 2,575.14, 3,862.67 and 627.34

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Solution

The fourth proportional to 2,575.14, 3,862.67 and 627.34 is: 941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.14 : 3,862.67 = 627.34 : x
  2. Step 2: Convert to fraction form
    2,575.14/3,862.67 = 627.34/x
  3. Step 3: Cross multiply
    2,575.14x = 3,862.67 × 627.34
  4. Step 4: Simplify right side
    2,575.14x = 2,423,207.40
  5. Step 5: Solve for x
    x = 2,423,207.40/2,575.14
  6. Step 6: Final answer
    x = 941.00

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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.