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Finding the Fourth Proportional to 1,222.49, 1,824.22 and 1,175.11

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Solution

The fourth proportional to 1,222.49, 1,824.22 and 1,175.11 is: 1,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.49 : 1,824.22 = 1,175.11 : x
  2. Step 2: Convert to fraction form
    1,222.49/1,824.22 = 1,175.11/x
  3. Step 3: Cross multiply
    1,222.49x = 1,824.22 × 1,175.11
  4. Step 4: Simplify right side
    1,222.49x = 2,143,656.07
  5. Step 5: Solve for x
    x = 2,143,656.07/1,222.49
  6. Step 6: Final answer
    x = 1,753.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.