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Finding the Fourth Proportional to 2,969.90, 4,451.51 and 2,279.48

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Solution

The fourth proportional to 2,969.90, 4,451.51 and 2,279.48 is: 3,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.90 : 4,451.51 = 2,279.48 : x
  2. Step 2: Convert to fraction form
    2,969.90/4,451.51 = 2,279.48/x
  3. Step 3: Cross multiply
    2,969.90x = 4,451.51 × 2,279.48
  4. Step 4: Simplify right side
    2,969.90x = 10,147,128.01
  5. Step 5: Solve for x
    x = 10,147,128.01/2,969.90
  6. Step 6: Final answer
    x = 3,416.66

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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.