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Finding the Fourth Proportional to 2,476.78, 3,714.46 and 996.00

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Solution

The fourth proportional to 2,476.78, 3,714.46 and 996.00 is: 1,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.78 : 3,714.46 = 996.00 : x
  2. Step 2: Convert to fraction form
    2,476.78/3,714.46 = 996.00/x
  3. Step 3: Cross multiply
    2,476.78x = 3,714.46 × 996.00
  4. Step 4: Simplify right side
    2,476.78x = 3,699,585.74
  5. Step 5: Solve for x
    x = 3,699,585.74/2,476.78
  6. Step 6: Final answer
    x = 1,493.71

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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.