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Finding the Fourth Proportional to 2,982.80, 4,472.94 and 1,595.84

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Solution

The fourth proportional to 2,982.80, 4,472.94 and 1,595.84 is: 2,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.80 : 4,472.94 = 1,595.84 : x
  2. Step 2: Convert to fraction form
    2,982.80/4,472.94 = 1,595.84/x
  3. Step 3: Cross multiply
    2,982.80x = 4,472.94 × 1,595.84
  4. Step 4: Simplify right side
    2,982.80x = 7,138,096.57
  5. Step 5: Solve for x
    x = 7,138,096.57/2,982.80
  6. Step 6: Final answer
    x = 2,393.09

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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.