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Finding the Fourth Proportional to 1,743.62, 2,406.13 and 997.52

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Solution

The fourth proportional to 1,743.62, 2,406.13 and 997.52 is: 1,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.62 : 2,406.13 = 997.52 : x
  2. Step 2: Convert to fraction form
    1,743.62/2,406.13 = 997.52/x
  3. Step 3: Cross multiply
    1,743.62x = 2,406.13 × 997.52
  4. Step 4: Simplify right side
    1,743.62x = 2,400,148.27
  5. Step 5: Solve for x
    x = 2,400,148.27/1,743.62
  6. Step 6: Final answer
    x = 1,376.54

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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.