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Finding the Fourth Proportional to 2,026.24, 3,039.36 and 565.41

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Solution

The fourth proportional to 2,026.24, 3,039.36 and 565.41 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.24 : 3,039.36 = 565.41 : x
  2. Step 2: Convert to fraction form
    2,026.24/3,039.36 = 565.41/x
  3. Step 3: Cross multiply
    2,026.24x = 3,039.36 × 565.41
  4. Step 4: Simplify right side
    2,026.24x = 1,718,484.54
  5. Step 5: Solve for x
    x = 1,718,484.54/2,026.24
  6. Step 6: Final answer
    x = 848.12

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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.