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Finding the Fourth Proportional to 2,292.78, 3,443.77 and 2,228.18

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Solution

The fourth proportional to 2,292.78, 3,443.77 and 2,228.18 is: 3,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.78 : 3,443.77 = 2,228.18 : x
  2. Step 2: Convert to fraction form
    2,292.78/3,443.77 = 2,228.18/x
  3. Step 3: Cross multiply
    2,292.78x = 3,443.77 × 2,228.18
  4. Step 4: Simplify right side
    2,292.78x = 7,673,333.87
  5. Step 5: Solve for x
    x = 7,673,333.87/2,292.78
  6. Step 6: Final answer
    x = 3,346.74

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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.