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Finding the Fourth Proportional to 2,254.14, 3,381.33 and 610.86

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Solution

The fourth proportional to 2,254.14, 3,381.33 and 610.86 is: 916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.14 : 3,381.33 = 610.86 : x
  2. Step 2: Convert to fraction form
    2,254.14/3,381.33 = 610.86/x
  3. Step 3: Cross multiply
    2,254.14x = 3,381.33 × 610.86
  4. Step 4: Simplify right side
    2,254.14x = 2,065,519.24
  5. Step 5: Solve for x
    x = 2,065,519.24/2,254.14
  6. Step 6: Final answer
    x = 916.32

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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.