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Finding the Fourth Proportional to 2,012.17, 2,777.36 and 1,414.81

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Solution

The fourth proportional to 2,012.17, 2,777.36 and 1,414.81 is: 1,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.17 : 2,777.36 = 1,414.81 : x
  2. Step 2: Convert to fraction form
    2,012.17/2,777.36 = 1,414.81/x
  3. Step 3: Cross multiply
    2,012.17x = 2,777.36 × 1,414.81
  4. Step 4: Simplify right side
    2,012.17x = 3,929,436.70
  5. Step 5: Solve for x
    x = 3,929,436.70/2,012.17
  6. Step 6: Final answer
    x = 1,952.84

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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.