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Finding the Fourth Proportional to 2,481, 3,723.93 and 1,824.90

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Solution

The fourth proportional to 2,481, 3,723.93 and 1,824.90 is: 2,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481 : 3,723.93 = 1,824.90 : x
  2. Step 2: Convert to fraction form
    2,481/3,723.93 = 1,824.90/x
  3. Step 3: Cross multiply
    2,481x = 3,723.93 × 1,824.90
  4. Step 4: Simplify right side
    2,481x = 6,795,799.86
  5. Step 5: Solve for x
    x = 6,795,799.86/2,481
  6. Step 6: Final answer
    x = 2,739.14

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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.