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Finding the Fourth Proportional to 2,166.47, 3,249.56 and 627.47

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Solution

The fourth proportional to 2,166.47, 3,249.56 and 627.47 is: 941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.47 : 3,249.56 = 627.47 : x
  2. Step 2: Convert to fraction form
    2,166.47/3,249.56 = 627.47/x
  3. Step 3: Cross multiply
    2,166.47x = 3,249.56 × 627.47
  4. Step 4: Simplify right side
    2,166.47x = 2,038,986.73
  5. Step 5: Solve for x
    x = 2,038,986.73/2,166.47
  6. Step 6: Final answer
    x = 941.16

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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.