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Finding the Fourth Proportional to 3,170.91, 4,757.71 and 1,708.35

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Solution

The fourth proportional to 3,170.91, 4,757.71 and 1,708.35 is: 2,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.91 : 4,757.71 = 1,708.35 : x
  2. Step 2: Convert to fraction form
    3,170.91/4,757.71 = 1,708.35/x
  3. Step 3: Cross multiply
    3,170.91x = 4,757.71 × 1,708.35
  4. Step 4: Simplify right side
    3,170.91x = 8,127,833.88
  5. Step 5: Solve for x
    x = 8,127,833.88/3,170.91
  6. Step 6: Final answer
    x = 2,563.25

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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.