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Finding the Fourth Proportional to 2,062.71, 2,846.88 and 1,178.79

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Solution

The fourth proportional to 2,062.71, 2,846.88 and 1,178.79 is: 1,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.71 : 2,846.88 = 1,178.79 : x
  2. Step 2: Convert to fraction form
    2,062.71/2,846.88 = 1,178.79/x
  3. Step 3: Cross multiply
    2,062.71x = 2,846.88 × 1,178.79
  4. Step 4: Simplify right side
    2,062.71x = 3,355,873.68
  5. Step 5: Solve for x
    x = 3,355,873.68/2,062.71
  6. Step 6: Final answer
    x = 1,626.92

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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.