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Finding the Fourth Proportional to 1,863.81, 2,794.91 and 708.75

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Solution

The fourth proportional to 1,863.81, 2,794.91 and 708.75 is: 1,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.81 : 2,794.91 = 708.75 : x
  2. Step 2: Convert to fraction form
    1,863.81/2,794.91 = 708.75/x
  3. Step 3: Cross multiply
    1,863.81x = 2,794.91 × 708.75
  4. Step 4: Simplify right side
    1,863.81x = 1,980,888.92
  5. Step 5: Solve for x
    x = 1,980,888.92/1,863.81
  6. Step 6: Final answer
    x = 1,062.82

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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.