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Finding the Fourth Proportional to 2,453.97, 3,681.37 and 1,747.29

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Solution

The fourth proportional to 2,453.97, 3,681.37 and 1,747.29 is: 2,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.97 : 3,681.37 = 1,747.29 : x
  2. Step 2: Convert to fraction form
    2,453.97/3,681.37 = 1,747.29/x
  3. Step 3: Cross multiply
    2,453.97x = 3,681.37 × 1,747.29
  4. Step 4: Simplify right side
    2,453.97x = 6,432,412.25
  5. Step 5: Solve for x
    x = 6,432,412.25/2,453.97
  6. Step 6: Final answer
    x = 2,621.23

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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.