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Finding the Fourth Proportional to 2,026.14, 3,039.03 and 565.29

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Solution

The fourth proportional to 2,026.14, 3,039.03 and 565.29 is: 847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.14 : 3,039.03 = 565.29 : x
  2. Step 2: Convert to fraction form
    2,026.14/3,039.03 = 565.29/x
  3. Step 3: Cross multiply
    2,026.14x = 3,039.03 × 565.29
  4. Step 4: Simplify right side
    2,026.14x = 1,717,933.27
  5. Step 5: Solve for x
    x = 1,717,933.27/2,026.14
  6. Step 6: Final answer
    x = 847.88

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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.