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Finding the Fourth Proportional to 3,178.83, 4,768.25 and 987.56

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Solution

The fourth proportional to 3,178.83, 4,768.25 and 987.56 is: 1,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.83 : 4,768.25 = 987.56 : x
  2. Step 2: Convert to fraction form
    3,178.83/4,768.25 = 987.56/x
  3. Step 3: Cross multiply
    3,178.83x = 4,768.25 × 987.56
  4. Step 4: Simplify right side
    3,178.83x = 4,708,932.97
  5. Step 5: Solve for x
    x = 4,708,932.97/3,178.83
  6. Step 6: Final answer
    x = 1,481.34

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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.