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Finding the Fourth Proportional to 2,476.47, 3,709.29 and 1,241.73

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Solution

The fourth proportional to 2,476.47, 3,709.29 and 1,241.73 is: 1,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.47 : 3,709.29 = 1,241.73 : x
  2. Step 2: Convert to fraction form
    2,476.47/3,709.29 = 1,241.73/x
  3. Step 3: Cross multiply
    2,476.47x = 3,709.29 × 1,241.73
  4. Step 4: Simplify right side
    2,476.47x = 4,605,941.33
  5. Step 5: Solve for x
    x = 4,605,941.33/2,476.47
  6. Step 6: Final answer
    x = 1,859.88

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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.