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Finding the Fourth Proportional to 2,575.29, 3,862.89 and 627.51

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Solution

The fourth proportional to 2,575.29, 3,862.89 and 627.51 is: 941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.29 : 3,862.89 = 627.51 : x
  2. Step 2: Convert to fraction form
    2,575.29/3,862.89 = 627.51/x
  3. Step 3: Cross multiply
    2,575.29x = 3,862.89 × 627.51
  4. Step 4: Simplify right side
    2,575.29x = 2,424,002.10
  5. Step 5: Solve for x
    x = 2,424,002.10/2,575.29
  6. Step 6: Final answer
    x = 941.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.