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Finding the Fourth Proportional to 2,166.72, 3,250.13 and 1,177.10

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Solution

The fourth proportional to 2,166.72, 3,250.13 and 1,177.10 is: 1,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.72 : 3,250.13 = 1,177.10 : x
  2. Step 2: Convert to fraction form
    2,166.72/3,250.13 = 1,177.10/x
  3. Step 3: Cross multiply
    2,166.72x = 3,250.13 × 1,177.10
  4. Step 4: Simplify right side
    2,166.72x = 3,825,718.07
  5. Step 5: Solve for x
    x = 3,825,718.07/2,166.72
  6. Step 6: Final answer
    x = 1,765.68

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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.