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Finding the Fourth Proportional to 2,219.69, 3,063.16 and 1,211.39

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Solution

The fourth proportional to 2,219.69, 3,063.16 and 1,211.39 is: 1,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.69 : 3,063.16 = 1,211.39 : x
  2. Step 2: Convert to fraction form
    2,219.69/3,063.16 = 1,211.39/x
  3. Step 3: Cross multiply
    2,219.69x = 3,063.16 × 1,211.39
  4. Step 4: Simplify right side
    2,219.69x = 3,710,663.05
  5. Step 5: Solve for x
    x = 3,710,663.05/2,219.69
  6. Step 6: Final answer
    x = 1,671.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.