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Finding the Fourth Proportional to 3,171.84, 4,757.70 and 980.31

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Solution

The fourth proportional to 3,171.84, 4,757.70 and 980.31 is: 1,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.84 : 4,757.70 = 980.31 : x
  2. Step 2: Convert to fraction form
    3,171.84/4,757.70 = 980.31/x
  3. Step 3: Cross multiply
    3,171.84x = 4,757.70 × 980.31
  4. Step 4: Simplify right side
    3,171.84x = 4,664,020.89
  5. Step 5: Solve for x
    x = 4,664,020.89/3,171.84
  6. Step 6: Final answer
    x = 1,470.45

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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.