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Finding the Fourth Proportional to 2,663.14, 3,671.81 and 2,072.42

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Solution

The fourth proportional to 2,663.14, 3,671.81 and 2,072.42 is: 2,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.14 : 3,671.81 = 2,072.42 : x
  2. Step 2: Convert to fraction form
    2,663.14/3,671.81 = 2,072.42/x
  3. Step 3: Cross multiply
    2,663.14x = 3,671.81 × 2,072.42
  4. Step 4: Simplify right side
    2,663.14x = 7,609,532.48
  5. Step 5: Solve for x
    x = 7,609,532.48/2,663.14
  6. Step 6: Final answer
    x = 2,857.35

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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.