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Finding the Fourth Proportional to 2,896.74, 4,344.18 and 1,252.86

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Solution

The fourth proportional to 2,896.74, 4,344.18 and 1,252.86 is: 1,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.74 : 4,344.18 = 1,252.86 : x
  2. Step 2: Convert to fraction form
    2,896.74/4,344.18 = 1,252.86/x
  3. Step 3: Cross multiply
    2,896.74x = 4,344.18 × 1,252.86
  4. Step 4: Simplify right side
    2,896.74x = 5,442,649.35
  5. Step 5: Solve for x
    x = 5,442,649.35/2,896.74
  6. Step 6: Final answer
    x = 1,878.89

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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.