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Finding the Fourth Proportional to 1,680.77, 2,522.99 and 1,274.36

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Solution

The fourth proportional to 1,680.77, 2,522.99 and 1,274.36 is: 1,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.77 : 2,522.99 = 1,274.36 : x
  2. Step 2: Convert to fraction form
    1,680.77/2,522.99 = 1,274.36/x
  3. Step 3: Cross multiply
    1,680.77x = 2,522.99 × 1,274.36
  4. Step 4: Simplify right side
    1,680.77x = 3,215,188.11
  5. Step 5: Solve for x
    x = 3,215,188.11/1,680.77
  6. Step 6: Final answer
    x = 1,912.92

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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.