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Finding the Fourth Proportional to 2,472, 3,687.01 and 2,084.56

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Solution

The fourth proportional to 2,472, 3,687.01 and 2,084.56 is: 3,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,687.01 = 2,084.56 : x
  2. Step 2: Convert to fraction form
    2,472/3,687.01 = 2,084.56/x
  3. Step 3: Cross multiply
    2,472x = 3,687.01 × 2,084.56
  4. Step 4: Simplify right side
    2,472x = 7,685,793.57
  5. Step 5: Solve for x
    x = 7,685,793.57/2,472
  6. Step 6: Final answer
    x = 3,109.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.