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Finding the Fourth Proportional to 2,772.84, 4,160.34 and 1,677.99

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Solution

The fourth proportional to 2,772.84, 4,160.34 and 1,677.99 is: 2,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 4,160.34 = 1,677.99 : x
  2. Step 2: Convert to fraction form
    2,772.84/4,160.34 = 1,677.99/x
  3. Step 3: Cross multiply
    2,772.84x = 4,160.34 × 1,677.99
  4. Step 4: Simplify right side
    2,772.84x = 6,981,008.92
  5. Step 5: Solve for x
    x = 6,981,008.92/2,772.84
  6. Step 6: Final answer
    x = 2,517.64

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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.