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Finding the Fourth Proportional to 2,254.38, 3,381.65 and 610.94

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Solution

The fourth proportional to 2,254.38, 3,381.65 and 610.94 is: 916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.38 : 3,381.65 = 610.94 : x
  2. Step 2: Convert to fraction form
    2,254.38/3,381.65 = 610.94/x
  3. Step 3: Cross multiply
    2,254.38x = 3,381.65 × 610.94
  4. Step 4: Simplify right side
    2,254.38x = 2,065,985.25
  5. Step 5: Solve for x
    x = 2,065,985.25/2,254.38
  6. Step 6: Final answer
    x = 916.43

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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.