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Finding the Fourth Proportional to 2,026.69, 3,040.03 and 487.69

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Solution

The fourth proportional to 2,026.69, 3,040.03 and 487.69 is: 731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.69 : 3,040.03 = 487.69 : x
  2. Step 2: Convert to fraction form
    2,026.69/3,040.03 = 487.69/x
  3. Step 3: Cross multiply
    2,026.69x = 3,040.03 × 487.69
  4. Step 4: Simplify right side
    2,026.69x = 1,482,585.24
  5. Step 5: Solve for x
    x = 1,482,585.24/2,026.69
  6. Step 6: Final answer
    x = 731.53

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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.