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Finding the Fourth Proportional to 3,174.72, 4,759.70 and 982.16

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Solution

The fourth proportional to 3,174.72, 4,759.70 and 982.16 is: 1,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.72 : 4,759.70 = 982.16 : x
  2. Step 2: Convert to fraction form
    3,174.72/4,759.70 = 982.16/x
  3. Step 3: Cross multiply
    3,174.72x = 4,759.70 × 982.16
  4. Step 4: Simplify right side
    3,174.72x = 4,674,786.95
  5. Step 5: Solve for x
    x = 4,674,786.95/3,174.72
  6. Step 6: Final answer
    x = 1,472.50

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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.