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Finding the Fourth Proportional to 2,969.79, 4,451.48 and 1,324.08

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Solution

The fourth proportional to 2,969.79, 4,451.48 and 1,324.08 is: 1,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.79 : 4,451.48 = 1,324.08 : x
  2. Step 2: Convert to fraction form
    2,969.79/4,451.48 = 1,324.08/x
  3. Step 3: Cross multiply
    2,969.79x = 4,451.48 × 1,324.08
  4. Step 4: Simplify right side
    2,969.79x = 5,894,109.02
  5. Step 5: Solve for x
    x = 5,894,109.02/2,969.79
  6. Step 6: Final answer
    x = 1,984.69

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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.