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Finding the Fourth Proportional to 3,306.80, 4,960.33 and 841.68

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Solution

The fourth proportional to 3,306.80, 4,960.33 and 841.68 is: 1,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.80 : 4,960.33 = 841.68 : x
  2. Step 2: Convert to fraction form
    3,306.80/4,960.33 = 841.68/x
  3. Step 3: Cross multiply
    3,306.80x = 4,960.33 × 841.68
  4. Step 4: Simplify right side
    3,306.80x = 4,175,008.45
  5. Step 5: Solve for x
    x = 4,175,008.45/3,306.80
  6. Step 6: Final answer
    x = 1,262.55

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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.