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Finding the Fourth Proportional to 2,911.84, 4,368.78 and 1,268.17

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Solution

The fourth proportional to 2,911.84, 4,368.78 and 1,268.17 is: 1,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.84 : 4,368.78 = 1,268.17 : x
  2. Step 2: Convert to fraction form
    2,911.84/4,368.78 = 1,268.17/x
  3. Step 3: Cross multiply
    2,911.84x = 4,368.78 × 1,268.17
  4. Step 4: Simplify right side
    2,911.84x = 5,540,355.73
  5. Step 5: Solve for x
    x = 5,540,355.73/2,911.84
  6. Step 6: Final answer
    x = 1,902.70

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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.