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Finding the Fourth Proportional to 1,227.84, 1,841.80 and 362.16

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Solution

The fourth proportional to 1,227.84, 1,841.80 and 362.16 is: 543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.84 : 1,841.80 = 362.16 : x
  2. Step 2: Convert to fraction form
    1,227.84/1,841.80 = 362.16/x
  3. Step 3: Cross multiply
    1,227.84x = 1,841.80 × 362.16
  4. Step 4: Simplify right side
    1,227.84x = 667,026.29
  5. Step 5: Solve for x
    x = 667,026.29/1,227.84
  6. Step 6: Final answer
    x = 543.25

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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.