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Finding the Fourth Proportional to 2,476.17, 3,714.86 and 995.69

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Solution

The fourth proportional to 2,476.17, 3,714.86 and 995.69 is: 1,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.17 : 3,714.86 = 995.69 : x
  2. Step 2: Convert to fraction form
    2,476.17/3,714.86 = 995.69/x
  3. Step 3: Cross multiply
    2,476.17x = 3,714.86 × 995.69
  4. Step 4: Simplify right side
    2,476.17x = 3,698,860.73
  5. Step 5: Solve for x
    x = 3,698,860.73/2,476.17
  6. Step 6: Final answer
    x = 1,493.78

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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.