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Finding the Fourth Proportional to 2,221.78, 3,065.49 and 1,512.34

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Solution

The fourth proportional to 2,221.78, 3,065.49 and 1,512.34 is: 2,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.78 : 3,065.49 = 1,512.34 : x
  2. Step 2: Convert to fraction form
    2,221.78/3,065.49 = 1,512.34/x
  3. Step 3: Cross multiply
    2,221.78x = 3,065.49 × 1,512.34
  4. Step 4: Simplify right side
    2,221.78x = 4,636,063.15
  5. Step 5: Solve for x
    x = 4,636,063.15/2,221.78
  6. Step 6: Final answer
    x = 2,086.64

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