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Finding the Fourth Proportional to 1,228.79, 1,839.54 and 1,227.17

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Solution

The fourth proportional to 1,228.79, 1,839.54 and 1,227.17 is: 1,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.79 : 1,839.54 = 1,227.17 : x
  2. Step 2: Convert to fraction form
    1,228.79/1,839.54 = 1,227.17/x
  3. Step 3: Cross multiply
    1,228.79x = 1,839.54 × 1,227.17
  4. Step 4: Simplify right side
    1,228.79x = 2,257,437.50
  5. Step 5: Solve for x
    x = 2,257,437.50/1,228.79
  6. Step 6: Final answer
    x = 1,837.12

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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.