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Finding the Fourth Proportional to 2,088.26, 3,132.27 and 627.44

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Solution

The fourth proportional to 2,088.26, 3,132.27 and 627.44 is: 941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.26 : 3,132.27 = 627.44 : x
  2. Step 2: Convert to fraction form
    2,088.26/3,132.27 = 627.44/x
  3. Step 3: Cross multiply
    2,088.26x = 3,132.27 × 627.44
  4. Step 4: Simplify right side
    2,088.26x = 1,965,311.49
  5. Step 5: Solve for x
    x = 1,965,311.49/2,088.26
  6. Step 6: Final answer
    x = 941.12

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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.