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Finding the Fourth Proportional to 1,892.71, 2,611.92 and 1,106.61

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Solution

The fourth proportional to 1,892.71, 2,611.92 and 1,106.61 is: 1,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.71 : 2,611.92 = 1,106.61 : x
  2. Step 2: Convert to fraction form
    1,892.71/2,611.92 = 1,106.61/x
  3. Step 3: Cross multiply
    1,892.71x = 2,611.92 × 1,106.61
  4. Step 4: Simplify right side
    1,892.71x = 2,890,363.73
  5. Step 5: Solve for x
    x = 2,890,363.73/1,892.71
  6. Step 6: Final answer
    x = 1,527.10

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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.