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Finding the Fourth Proportional to 2,969.46, 4,469.99 and 2,279.95

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Solution

The fourth proportional to 2,969.46, 4,469.99 and 2,279.95 is: 3,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.46 : 4,469.99 = 2,279.95 : x
  2. Step 2: Convert to fraction form
    2,969.46/4,469.99 = 2,279.95/x
  3. Step 3: Cross multiply
    2,969.46x = 4,469.99 × 2,279.95
  4. Step 4: Simplify right side
    2,969.46x = 10,191,331.13
  5. Step 5: Solve for x
    x = 10,191,331.13/2,969.46
  6. Step 6: Final answer
    x = 3,432.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.