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Finding the Fourth Proportional to 2,969.07, 4,452.10 and 994.02

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Solution

The fourth proportional to 2,969.07, 4,452.10 and 994.02 is: 1,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.07 : 4,452.10 = 994.02 : x
  2. Step 2: Convert to fraction form
    2,969.07/4,452.10 = 994.02/x
  3. Step 3: Cross multiply
    2,969.07x = 4,452.10 × 994.02
  4. Step 4: Simplify right side
    2,969.07x = 4,425,476.44
  5. Step 5: Solve for x
    x = 4,425,476.44/2,969.07
  6. Step 6: Final answer
    x = 1,490.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.