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Finding the Fourth Proportional to 2,732.42, 3,772.30 and 1,802.54

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Solution

The fourth proportional to 2,732.42, 3,772.30 and 1,802.54 is: 2,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.42 : 3,772.30 = 1,802.54 : x
  2. Step 2: Convert to fraction form
    2,732.42/3,772.30 = 1,802.54/x
  3. Step 3: Cross multiply
    2,732.42x = 3,772.30 × 1,802.54
  4. Step 4: Simplify right side
    2,732.42x = 6,799,721.64
  5. Step 5: Solve for x
    x = 6,799,721.64/2,732.42
  6. Step 6: Final answer
    x = 2,488.53

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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.