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Finding the Fourth Proportional to 2,306.22, 3,459.30 and 662.77

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Solution

The fourth proportional to 2,306.22, 3,459.30 and 662.77 is: 994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.22 : 3,459.30 = 662.77 : x
  2. Step 2: Convert to fraction form
    2,306.22/3,459.30 = 662.77/x
  3. Step 3: Cross multiply
    2,306.22x = 3,459.30 × 662.77
  4. Step 4: Simplify right side
    2,306.22x = 2,292,720.26
  5. Step 5: Solve for x
    x = 2,292,720.26/2,306.22
  6. Step 6: Final answer
    x = 994.15

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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.