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Finding the Fourth Proportional to 1,227.50, 1,841.25 and 349.89

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Solution

The fourth proportional to 1,227.50, 1,841.25 and 349.89 is: 524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.50 : 1,841.25 = 349.89 : x
  2. Step 2: Convert to fraction form
    1,227.50/1,841.25 = 349.89/x
  3. Step 3: Cross multiply
    1,227.50x = 1,841.25 × 349.89
  4. Step 4: Simplify right side
    1,227.50x = 644,227.40
  5. Step 5: Solve for x
    x = 644,227.40/1,227.50
  6. Step 6: Final answer
    x = 524.83

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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.