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Finding the Fourth Proportional to 2,972.44, 4,098.09 and 1,851.44

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Solution

The fourth proportional to 2,972.44, 4,098.09 and 1,851.44 is: 2,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.44 : 4,098.09 = 1,851.44 : x
  2. Step 2: Convert to fraction form
    2,972.44/4,098.09 = 1,851.44/x
  3. Step 3: Cross multiply
    2,972.44x = 4,098.09 × 1,851.44
  4. Step 4: Simplify right side
    2,972.44x = 7,587,338.00
  5. Step 5: Solve for x
    x = 7,587,338.00/2,972.44
  6. Step 6: Final answer
    x = 2,552.56

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Why These Related Problems?

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