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Finding the Fourth Proportional to 2,306.32, 3,458.62 and 745.92

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Solution

The fourth proportional to 2,306.32, 3,458.62 and 745.92 is: 1,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.32 : 3,458.62 = 745.92 : x
  2. Step 2: Convert to fraction form
    2,306.32/3,458.62 = 745.92/x
  3. Step 3: Cross multiply
    2,306.32x = 3,458.62 × 745.92
  4. Step 4: Simplify right side
    2,306.32x = 2,579,847.13
  5. Step 5: Solve for x
    x = 2,579,847.13/2,306.32
  6. Step 6: Final answer
    x = 1,118.60

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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.