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Finding the Fourth Proportional to 2,306.34, 3,459.42 and 767.34

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Solution

The fourth proportional to 2,306.34, 3,459.42 and 767.34 is: 1,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.34 : 3,459.42 = 767.34 : x
  2. Step 2: Convert to fraction form
    2,306.34/3,459.42 = 767.34/x
  3. Step 3: Cross multiply
    2,306.34x = 3,459.42 × 767.34
  4. Step 4: Simplify right side
    2,306.34x = 2,654,551.34
  5. Step 5: Solve for x
    x = 2,654,551.34/2,306.34
  6. Step 6: Final answer
    x = 1,150.98

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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.