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Finding the Fourth Proportional to 2,273, 3,410.30 and 1,119.56

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Solution

The fourth proportional to 2,273, 3,410.30 and 1,119.56 is: 1,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273 : 3,410.30 = 1,119.56 : x
  2. Step 2: Convert to fraction form
    2,273/3,410.30 = 1,119.56/x
  3. Step 3: Cross multiply
    2,273x = 3,410.30 × 1,119.56
  4. Step 4: Simplify right side
    2,273x = 3,818,035.47
  5. Step 5: Solve for x
    x = 3,818,035.47/2,273
  6. Step 6: Final answer
    x = 1,679.73

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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.