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Finding the Fourth Proportional to 2,170.96, 3,256.21 and 610.92

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Solution

The fourth proportional to 2,170.96, 3,256.21 and 610.92 is: 916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.96 : 3,256.21 = 610.92 : x
  2. Step 2: Convert to fraction form
    2,170.96/3,256.21 = 610.92/x
  3. Step 3: Cross multiply
    2,170.96x = 3,256.21 × 610.92
  4. Step 4: Simplify right side
    2,170.96x = 1,989,284.58
  5. Step 5: Solve for x
    x = 1,989,284.58/2,170.96
  6. Step 6: Final answer
    x = 916.32

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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.