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Finding the Fourth Proportional to 1,581.62, 2,184.21 and 1,347.38

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Solution

The fourth proportional to 1,581.62, 2,184.21 and 1,347.38 is: 1,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.62 : 2,184.21 = 1,347.38 : x
  2. Step 2: Convert to fraction form
    1,581.62/2,184.21 = 1,347.38/x
  3. Step 3: Cross multiply
    1,581.62x = 2,184.21 × 1,347.38
  4. Step 4: Simplify right side
    1,581.62x = 2,942,960.87
  5. Step 5: Solve for x
    x = 2,942,960.87/1,581.62
  6. Step 6: Final answer
    x = 1,860.73

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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.