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Finding the Fourth Proportional to 2,166.17, 3,250.02 and 1,126.13

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Solution

The fourth proportional to 2,166.17, 3,250.02 and 1,126.13 is: 1,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.17 : 3,250.02 = 1,126.13 : x
  2. Step 2: Convert to fraction form
    2,166.17/3,250.02 = 1,126.13/x
  3. Step 3: Cross multiply
    2,166.17x = 3,250.02 × 1,126.13
  4. Step 4: Simplify right side
    2,166.17x = 3,659,945.02
  5. Step 5: Solve for x
    x = 3,659,945.02/2,166.17
  6. Step 6: Final answer
    x = 1,689.59

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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.