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Finding the Fourth Proportional to 2,674, 4,010.68 and 1,029.39

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Solution

The fourth proportional to 2,674, 4,010.68 and 1,029.39 is: 1,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674 : 4,010.68 = 1,029.39 : x
  2. Step 2: Convert to fraction form
    2,674/4,010.68 = 1,029.39/x
  3. Step 3: Cross multiply
    2,674x = 4,010.68 × 1,029.39
  4. Step 4: Simplify right side
    2,674x = 4,128,553.89
  5. Step 5: Solve for x
    x = 4,128,553.89/2,674
  6. Step 6: Final answer
    x = 1,543.96

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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.