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Finding the Fourth Proportional to 2,847.07, 4,268.00 and 997.17

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Solution

The fourth proportional to 2,847.07, 4,268.00 and 997.17 is: 1,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.07 : 4,268.00 = 997.17 : x
  2. Step 2: Convert to fraction form
    2,847.07/4,268.00 = 997.17/x
  3. Step 3: Cross multiply
    2,847.07x = 4,268.00 × 997.17
  4. Step 4: Simplify right side
    2,847.07x = 4,255,916.57
  5. Step 5: Solve for x
    x = 4,255,916.57/2,847.07
  6. Step 6: Final answer
    x = 1,494.84

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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.