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Finding the Fourth Proportional to 2,306.12, 3,458.67 and 662.66

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Solution

The fourth proportional to 2,306.12, 3,458.67 and 662.66 is: 993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.12 : 3,458.67 = 662.66 : x
  2. Step 2: Convert to fraction form
    2,306.12/3,458.67 = 662.66/x
  3. Step 3: Cross multiply
    2,306.12x = 3,458.67 × 662.66
  4. Step 4: Simplify right side
    2,306.12x = 2,291,922.26
  5. Step 5: Solve for x
    x = 2,291,922.26/2,306.12
  6. Step 6: Final answer
    x = 993.84

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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.