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Finding the Fourth Proportional to 3,301, 4,557.81 and 2,251.24

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Solution

The fourth proportional to 3,301, 4,557.81 and 2,251.24 is: 3,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301 : 4,557.81 = 2,251.24 : x
  2. Step 2: Convert to fraction form
    3,301/4,557.81 = 2,251.24/x
  3. Step 3: Cross multiply
    3,301x = 4,557.81 × 2,251.24
  4. Step 4: Simplify right side
    3,301x = 10,260,724.18
  5. Step 5: Solve for x
    x = 10,260,724.18/3,301
  6. Step 6: Final answer
    x = 3,108.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.