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Finding the Fourth Proportional to 2,170.85, 3,257.22 and 1,074.59

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Solution

The fourth proportional to 2,170.85, 3,257.22 and 1,074.59 is: 1,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.85 : 3,257.22 = 1,074.59 : x
  2. Step 2: Convert to fraction form
    2,170.85/3,257.22 = 1,074.59/x
  3. Step 3: Cross multiply
    2,170.85x = 3,257.22 × 1,074.59
  4. Step 4: Simplify right side
    2,170.85x = 3,500,176.04
  5. Step 5: Solve for x
    x = 3,500,176.04/2,170.85
  6. Step 6: Final answer
    x = 1,612.35

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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.