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Finding the Fourth Proportional to 2,170.16, 3,255.41 and 610.29

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Solution

The fourth proportional to 2,170.16, 3,255.41 and 610.29 is: 915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.16 : 3,255.41 = 610.29 : x
  2. Step 2: Convert to fraction form
    2,170.16/3,255.41 = 610.29/x
  3. Step 3: Cross multiply
    2,170.16x = 3,255.41 × 610.29
  4. Step 4: Simplify right side
    2,170.16x = 1,986,741.12
  5. Step 5: Solve for x
    x = 1,986,741.12/2,170.16
  6. Step 6: Final answer
    x = 915.48

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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.