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Finding the Fourth Proportional to 3,178.88, 4,768.96 and 987.52

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Solution

The fourth proportional to 3,178.88, 4,768.96 and 987.52 is: 1,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.88 : 4,768.96 = 987.52 : x
  2. Step 2: Convert to fraction form
    3,178.88/4,768.96 = 987.52/x
  3. Step 3: Cross multiply
    3,178.88x = 4,768.96 × 987.52
  4. Step 4: Simplify right side
    3,178.88x = 4,709,443.38
  5. Step 5: Solve for x
    x = 4,709,443.38/3,178.88
  6. Step 6: Final answer
    x = 1,481.48

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1.5x scale

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.