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Finding the Fourth Proportional to 2,026.69, 3,040.23 and 565.82

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Solution

The fourth proportional to 2,026.69, 3,040.23 and 565.82 is: 848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.69 : 3,040.23 = 565.82 : x
  2. Step 2: Convert to fraction form
    2,026.69/3,040.23 = 565.82/x
  3. Step 3: Cross multiply
    2,026.69x = 3,040.23 × 565.82
  4. Step 4: Simplify right side
    2,026.69x = 1,720,221.26
  5. Step 5: Solve for x
    x = 1,720,221.26/2,026.69
  6. Step 6: Final answer
    x = 848.78

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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.