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Finding the Fourth Proportional to 2,753.43, 4,130.06 and 673.44

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Solution

The fourth proportional to 2,753.43, 4,130.06 and 673.44 is: 1,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.43 : 4,130.06 = 673.44 : x
  2. Step 2: Convert to fraction form
    2,753.43/4,130.06 = 673.44/x
  3. Step 3: Cross multiply
    2,753.43x = 4,130.06 × 673.44
  4. Step 4: Simplify right side
    2,753.43x = 2,781,347.61
  5. Step 5: Solve for x
    x = 2,781,347.61/2,753.43
  6. Step 6: Final answer
    x = 1,010.14

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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.