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Finding the Fourth Proportional to 2,252.14, 3,105.94 and 1,412.94

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Solution

The fourth proportional to 2,252.14, 3,105.94 and 1,412.94 is: 1,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.14 : 3,105.94 = 1,412.94 : x
  2. Step 2: Convert to fraction form
    2,252.14/3,105.94 = 1,412.94/x
  3. Step 3: Cross multiply
    2,252.14x = 3,105.94 × 1,412.94
  4. Step 4: Simplify right side
    2,252.14x = 4,388,506.86
  5. Step 5: Solve for x
    x = 4,388,506.86/2,252.14
  6. Step 6: Final answer
    x = 1,948.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.