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Finding the Fourth Proportional to 3,171.84, 4,758.34 and 980.42

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Solution

The fourth proportional to 3,171.84, 4,758.34 and 980.42 is: 1,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.84 : 4,758.34 = 980.42 : x
  2. Step 2: Convert to fraction form
    3,171.84/4,758.34 = 980.42/x
  3. Step 3: Cross multiply
    3,171.84x = 4,758.34 × 980.42
  4. Step 4: Simplify right side
    3,171.84x = 4,665,171.70
  5. Step 5: Solve for x
    x = 4,665,171.70/3,171.84
  6. Step 6: Final answer
    x = 1,470.81

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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.