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Finding the Fourth Proportional to 2,044.23, 3,066.79 and 745.69

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Solution

The fourth proportional to 2,044.23, 3,066.79 and 745.69 is: 1,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.23 : 3,066.79 = 745.69 : x
  2. Step 2: Convert to fraction form
    2,044.23/3,066.79 = 745.69/x
  3. Step 3: Cross multiply
    2,044.23x = 3,066.79 × 745.69
  4. Step 4: Simplify right side
    2,044.23x = 2,286,874.64
  5. Step 5: Solve for x
    x = 2,286,874.64/2,044.23
  6. Step 6: Final answer
    x = 1,118.70

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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.