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Finding the Fourth Proportional to 2,064.92, 2,849.68 and 1,180.73

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Solution

The fourth proportional to 2,064.92, 2,849.68 and 1,180.73 is: 1,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.92 : 2,849.68 = 1,180.73 : x
  2. Step 2: Convert to fraction form
    2,064.92/2,849.68 = 1,180.73/x
  3. Step 3: Cross multiply
    2,064.92x = 2,849.68 × 1,180.73
  4. Step 4: Simplify right side
    2,064.92x = 3,364,685.47
  5. Step 5: Solve for x
    x = 3,364,685.47/2,064.92
  6. Step 6: Final answer
    x = 1,629.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.