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Finding the Fourth Proportional to 2,227.39, 3,341.50 and 841.14

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Solution

The fourth proportional to 2,227.39, 3,341.50 and 841.14 is: 1,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.39 : 3,341.50 = 841.14 : x
  2. Step 2: Convert to fraction form
    2,227.39/3,341.50 = 841.14/x
  3. Step 3: Cross multiply
    2,227.39x = 3,341.50 × 841.14
  4. Step 4: Simplify right side
    2,227.39x = 2,810,669.31
  5. Step 5: Solve for x
    x = 2,810,669.31/2,227.39
  6. Step 6: Final answer
    x = 1,261.87

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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.