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Finding the Fourth Proportional to 2,941.38, 4,411.94 and 861.30

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Solution

The fourth proportional to 2,941.38, 4,411.94 and 861.30 is: 1,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.38 : 4,411.94 = 861.30 : x
  2. Step 2: Convert to fraction form
    2,941.38/4,411.94 = 861.30/x
  3. Step 3: Cross multiply
    2,941.38x = 4,411.94 × 861.30
  4. Step 4: Simplify right side
    2,941.38x = 3,799,999.62
  5. Step 5: Solve for x
    x = 3,799,999.62/2,941.38
  6. Step 6: Final answer
    x = 1,291.91

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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.