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Finding the Fourth Proportional to 1,966.09, 2,948.31 and 1,144.93

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Solution

The fourth proportional to 1,966.09, 2,948.31 and 1,144.93 is: 1,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.09 : 2,948.31 = 1,144.93 : x
  2. Step 2: Convert to fraction form
    1,966.09/2,948.31 = 1,144.93/x
  3. Step 3: Cross multiply
    1,966.09x = 2,948.31 × 1,144.93
  4. Step 4: Simplify right side
    1,966.09x = 3,375,608.57
  5. Step 5: Solve for x
    x = 3,375,608.57/1,966.09
  6. Step 6: Final answer
    x = 1,716.91

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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.