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Finding the Fourth Proportional to 4,341.84, 6,511.97 and 1,221.09

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Solution

The fourth proportional to 4,341.84, 6,511.97 and 1,221.09 is: 1,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.84 : 6,511.97 = 1,221.09 : x
  2. Step 2: Convert to fraction form
    4,341.84/6,511.97 = 1,221.09/x
  3. Step 3: Cross multiply
    4,341.84x = 6,511.97 × 1,221.09
  4. Step 4: Simplify right side
    4,341.84x = 7,951,720.78
  5. Step 5: Solve for x
    x = 7,951,720.78/4,341.84
  6. Step 6: Final answer
    x = 1,831.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.