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Finding the Fourth Proportional to 2,896.68, 4,344.71 and 816.75

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Solution

The fourth proportional to 2,896.68, 4,344.71 and 816.75 is: 1,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.68 : 4,344.71 = 816.75 : x
  2. Step 2: Convert to fraction form
    2,896.68/4,344.71 = 816.75/x
  3. Step 3: Cross multiply
    2,896.68x = 4,344.71 × 816.75
  4. Step 4: Simplify right side
    2,896.68x = 3,548,541.89
  5. Step 5: Solve for x
    x = 3,548,541.89/2,896.68
  6. Step 6: Final answer
    x = 1,225.04

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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.