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Finding the Fourth Proportional to 2,476.38, 3,713.90 and 995.61

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Solution

The fourth proportional to 2,476.38, 3,713.90 and 995.61 is: 1,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.38 : 3,713.90 = 995.61 : x
  2. Step 2: Convert to fraction form
    2,476.38/3,713.90 = 995.61/x
  3. Step 3: Cross multiply
    2,476.38x = 3,713.90 × 995.61
  4. Step 4: Simplify right side
    2,476.38x = 3,697,591.00
  5. Step 5: Solve for x
    x = 3,697,591.00/2,476.38
  6. Step 6: Final answer
    x = 1,493.14

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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.