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Finding the Fourth Proportional to 2,858.68, 4,288.43 and 911.04

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Solution

The fourth proportional to 2,858.68, 4,288.43 and 911.04 is: 1,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.68 : 4,288.43 = 911.04 : x
  2. Step 2: Convert to fraction form
    2,858.68/4,288.43 = 911.04/x
  3. Step 3: Cross multiply
    2,858.68x = 4,288.43 × 911.04
  4. Step 4: Simplify right side
    2,858.68x = 3,906,931.27
  5. Step 5: Solve for x
    x = 3,906,931.27/2,858.68
  6. Step 6: Final answer
    x = 1,366.69

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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.