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Finding the Fourth Proportional to 2,896.08, 4,343.04 and 1,252.86

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Solution

The fourth proportional to 2,896.08, 4,343.04 and 1,252.86 is: 1,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.08 : 4,343.04 = 1,252.86 : x
  2. Step 2: Convert to fraction form
    2,896.08/4,343.04 = 1,252.86/x
  3. Step 3: Cross multiply
    2,896.08x = 4,343.04 × 1,252.86
  4. Step 4: Simplify right side
    2,896.08x = 5,441,221.09
  5. Step 5: Solve for x
    x = 5,441,221.09/2,896.08
  6. Step 6: Final answer
    x = 1,878.82

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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.