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Finding the Fourth Proportional to 2,254.22, 3,381.47 and 610.91

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Solution

The fourth proportional to 2,254.22, 3,381.47 and 610.91 is: 916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.22 : 3,381.47 = 610.91 : x
  2. Step 2: Convert to fraction form
    2,254.22/3,381.47 = 610.91/x
  3. Step 3: Cross multiply
    2,254.22x = 3,381.47 × 610.91
  4. Step 4: Simplify right side
    2,254.22x = 2,065,753.88
  5. Step 5: Solve for x
    x = 2,065,753.88/2,254.22
  6. Step 6: Final answer
    x = 916.39

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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.