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Finding the Fourth Proportional to 2,967.89, 4,091.88 and 2,434.85

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Solution

The fourth proportional to 2,967.89, 4,091.88 and 2,434.85 is: 3,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.89 : 4,091.88 = 2,434.85 : x
  2. Step 2: Convert to fraction form
    2,967.89/4,091.88 = 2,434.85/x
  3. Step 3: Cross multiply
    2,967.89x = 4,091.88 × 2,434.85
  4. Step 4: Simplify right side
    2,967.89x = 9,963,114.02
  5. Step 5: Solve for x
    x = 9,963,114.02/2,967.89
  6. Step 6: Final answer
    x = 3,356.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.