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Finding the Fourth Proportional to 2,982.04, 4,471.02 and 1,132.84

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Solution

The fourth proportional to 2,982.04, 4,471.02 and 1,132.84 is: 1,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.04 : 4,471.02 = 1,132.84 : x
  2. Step 2: Convert to fraction form
    2,982.04/4,471.02 = 1,132.84/x
  3. Step 3: Cross multiply
    2,982.04x = 4,471.02 × 1,132.84
  4. Step 4: Simplify right side
    2,982.04x = 5,064,950.30
  5. Step 5: Solve for x
    x = 5,064,950.30/2,982.04
  6. Step 6: Final answer
    x = 1,698.49

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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.