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Finding the Fourth Proportional to 2,863.72, 4,289.82 and 1,708.84

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Solution

The fourth proportional to 2,863.72, 4,289.82 and 1,708.84 is: 2,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.72 : 4,289.82 = 1,708.84 : x
  2. Step 2: Convert to fraction form
    2,863.72/4,289.82 = 1,708.84/x
  3. Step 3: Cross multiply
    2,863.72x = 4,289.82 × 1,708.84
  4. Step 4: Simplify right side
    2,863.72x = 7,330,616.01
  5. Step 5: Solve for x
    x = 7,330,616.01/2,863.72
  6. Step 6: Final answer
    x = 2,559.82

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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.