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Finding the Fourth Proportional to 2,896.02, 4,344.87 and 1,164.54

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Solution

The fourth proportional to 2,896.02, 4,344.87 and 1,164.54 is: 1,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.02 : 4,344.87 = 1,164.54 : x
  2. Step 2: Convert to fraction form
    2,896.02/4,344.87 = 1,164.54/x
  3. Step 3: Cross multiply
    2,896.02x = 4,344.87 × 1,164.54
  4. Step 4: Simplify right side
    2,896.02x = 5,059,774.91
  5. Step 5: Solve for x
    x = 5,059,774.91/2,896.02
  6. Step 6: Final answer
    x = 1,747.15

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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.