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Finding the Fourth Proportional to 2,170.47, 3,256.24 and 610.47

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Solution

The fourth proportional to 2,170.47, 3,256.24 and 610.47 is: 915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.47 : 3,256.24 = 610.47 : x
  2. Step 2: Convert to fraction form
    2,170.47/3,256.24 = 610.47/x
  3. Step 3: Cross multiply
    2,170.47x = 3,256.24 × 610.47
  4. Step 4: Simplify right side
    2,170.47x = 1,987,836.83
  5. Step 5: Solve for x
    x = 1,987,836.83/2,170.47
  6. Step 6: Final answer
    x = 915.86

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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.