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Finding the Fourth Proportional to 2,342.06, 3,512.85 and 610.68

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Solution

The fourth proportional to 2,342.06, 3,512.85 and 610.68 is: 915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.06 : 3,512.85 = 610.68 : x
  2. Step 2: Convert to fraction form
    2,342.06/3,512.85 = 610.68/x
  3. Step 3: Cross multiply
    2,342.06x = 3,512.85 × 610.68
  4. Step 4: Simplify right side
    2,342.06x = 2,145,227.24
  5. Step 5: Solve for x
    x = 2,145,227.24/2,342.06
  6. Step 6: Final answer
    x = 915.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.