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Finding the Fourth Proportional to 2,610.30, 3,915.32 and 662.52

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Solution

The fourth proportional to 2,610.30, 3,915.32 and 662.52 is: 993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.30 : 3,915.32 = 662.52 : x
  2. Step 2: Convert to fraction form
    2,610.30/3,915.32 = 662.52/x
  3. Step 3: Cross multiply
    2,610.30x = 3,915.32 × 662.52
  4. Step 4: Simplify right side
    2,610.30x = 2,593,974.49
  5. Step 5: Solve for x
    x = 2,593,974.49/2,610.30
  6. Step 6: Final answer
    x = 993.75

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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.