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Finding the Fourth Proportional to 2,170.86, 3,256.48 and 610.88

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Solution

The fourth proportional to 2,170.86, 3,256.48 and 610.88 is: 916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.86 : 3,256.48 = 610.88 : x
  2. Step 2: Convert to fraction form
    2,170.86/3,256.48 = 610.88/x
  3. Step 3: Cross multiply
    2,170.86x = 3,256.48 × 610.88
  4. Step 4: Simplify right side
    2,170.86x = 1,989,318.50
  5. Step 5: Solve for x
    x = 1,989,318.50/2,170.86
  6. Step 6: Final answer
    x = 916.37

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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.