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Finding the Fourth Proportional to 2,674.82, 4,013 and 1,114.54

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Solution

The fourth proportional to 2,674.82, 4,013 and 1,114.54 is: 1,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.82 : 4,013 = 1,114.54 : x
  2. Step 2: Convert to fraction form
    2,674.82/4,013 = 1,114.54/x
  3. Step 3: Cross multiply
    2,674.82x = 4,013 × 1,114.54
  4. Step 4: Simplify right side
    2,674.82x = 4,472,649.02
  5. Step 5: Solve for x
    x = 4,472,649.02/2,674.82
  6. Step 6: Final answer
    x = 1,672.13

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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.