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Finding the Fourth Proportional to 2,463.01, 3,695.99 and 981.97

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Solution

The fourth proportional to 2,463.01, 3,695.99 and 981.97 is: 1,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.01 : 3,695.99 = 981.97 : x
  2. Step 2: Convert to fraction form
    2,463.01/3,695.99 = 981.97/x
  3. Step 3: Cross multiply
    2,463.01x = 3,695.99 × 981.97
  4. Step 4: Simplify right side
    2,463.01x = 3,629,337.15
  5. Step 5: Solve for x
    x = 3,629,337.15/2,463.01
  6. Step 6: Final answer
    x = 1,473.54

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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.