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Finding the Fourth Proportional to 2,026.67, 3,038.17 and 727.83

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Solution

The fourth proportional to 2,026.67, 3,038.17 and 727.83 is: 1,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.67 : 3,038.17 = 727.83 : x
  2. Step 2: Convert to fraction form
    2,026.67/3,038.17 = 727.83/x
  3. Step 3: Cross multiply
    2,026.67x = 3,038.17 × 727.83
  4. Step 4: Simplify right side
    2,026.67x = 2,211,269.45
  5. Step 5: Solve for x
    x = 2,211,269.45/2,026.67
  6. Step 6: Final answer
    x = 1,091.09

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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.