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Finding the Fourth Proportional to 3,310.80, 4,966.14 and 1,336.40

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Solution

The fourth proportional to 3,310.80, 4,966.14 and 1,336.40 is: 2,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.80 : 4,966.14 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    3,310.80/4,966.14 = 1,336.40/x
  3. Step 3: Cross multiply
    3,310.80x = 4,966.14 × 1,336.40
  4. Step 4: Simplify right side
    3,310.80x = 6,636,724.67
  5. Step 5: Solve for x
    x = 6,636,724.67/3,310.80
  6. Step 6: Final answer
    x = 2,004.57

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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.