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Finding the Fourth Proportional to 2,394.66, 3,591.95 and 834.69

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Solution

The fourth proportional to 2,394.66, 3,591.95 and 834.69 is: 1,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.66 : 3,591.95 = 834.69 : x
  2. Step 2: Convert to fraction form
    2,394.66/3,591.95 = 834.69/x
  3. Step 3: Cross multiply
    2,394.66x = 3,591.95 × 834.69
  4. Step 4: Simplify right side
    2,394.66x = 2,998,164.75
  5. Step 5: Solve for x
    x = 2,998,164.75/2,394.66
  6. Step 6: Final answer
    x = 1,252.02

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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.