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Finding the Fourth Proportional to 2,026.05, 3,039.08 and 565.44

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Solution

The fourth proportional to 2,026.05, 3,039.08 and 565.44 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.05 : 3,039.08 = 565.44 : x
  2. Step 2: Convert to fraction form
    2,026.05/3,039.08 = 565.44/x
  3. Step 3: Cross multiply
    2,026.05x = 3,039.08 × 565.44
  4. Step 4: Simplify right side
    2,026.05x = 1,718,414.57
  5. Step 5: Solve for x
    x = 1,718,414.57/2,026.05
  6. Step 6: Final answer
    x = 848.16

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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.