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Finding the Fourth Proportional to 3,178.85, 4,768.77 and 987.12

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Solution

The fourth proportional to 3,178.85, 4,768.77 and 987.12 is: 1,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.85 : 4,768.77 = 987.12 : x
  2. Step 2: Convert to fraction form
    3,178.85/4,768.77 = 987.12/x
  3. Step 3: Cross multiply
    3,178.85x = 4,768.77 × 987.12
  4. Step 4: Simplify right side
    3,178.85x = 4,707,351.94
  5. Step 5: Solve for x
    x = 4,707,351.94/3,178.85
  6. Step 6: Final answer
    x = 1,480.84

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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.