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Finding the Fourth Proportional to 2,026.22, 3,039.33 and 487.22

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Solution

The fourth proportional to 2,026.22, 3,039.33 and 487.22 is: 730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.22 : 3,039.33 = 487.22 : x
  2. Step 2: Convert to fraction form
    2,026.22/3,039.33 = 487.22/x
  3. Step 3: Cross multiply
    2,026.22x = 3,039.33 × 487.22
  4. Step 4: Simplify right side
    2,026.22x = 1,480,822.36
  5. Step 5: Solve for x
    x = 1,480,822.36/2,026.22
  6. Step 6: Final answer
    x = 730.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.