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Finding the Fourth Proportional to 3,178.67, 4,768.02 and 987.35

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Solution

The fourth proportional to 3,178.67, 4,768.02 and 987.35 is: 1,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.67 : 4,768.02 = 987.35 : x
  2. Step 2: Convert to fraction form
    3,178.67/4,768.02 = 987.35/x
  3. Step 3: Cross multiply
    3,178.67x = 4,768.02 × 987.35
  4. Step 4: Simplify right side
    3,178.67x = 4,707,704.55
  5. Step 5: Solve for x
    x = 4,707,704.55/3,178.67
  6. Step 6: Final answer
    x = 1,481.03

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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.