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Finding the Fourth Proportional to 2,610.22, 3,915.78 and 855.64

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Solution

The fourth proportional to 2,610.22, 3,915.78 and 855.64 is: 1,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.22 : 3,915.78 = 855.64 : x
  2. Step 2: Convert to fraction form
    2,610.22/3,915.78 = 855.64/x
  3. Step 3: Cross multiply
    2,610.22x = 3,915.78 × 855.64
  4. Step 4: Simplify right side
    2,610.22x = 3,350,498.00
  5. Step 5: Solve for x
    x = 3,350,498.00/2,610.22
  6. Step 6: Final answer
    x = 1,283.61

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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.