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Finding the Fourth Proportional to 2,306.23, 3,458.61 and 745.90

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Solution

The fourth proportional to 2,306.23, 3,458.61 and 745.90 is: 1,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.23 : 3,458.61 = 745.90 : x
  2. Step 2: Convert to fraction form
    2,306.23/3,458.61 = 745.90/x
  3. Step 3: Cross multiply
    2,306.23x = 3,458.61 × 745.90
  4. Step 4: Simplify right side
    2,306.23x = 2,579,777.20
  5. Step 5: Solve for x
    x = 2,579,777.20/2,306.23
  6. Step 6: Final answer
    x = 1,118.61

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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.