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Finding the Fourth Proportional to 1,892.43, 2,611.49 and 1,106.42

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Solution

The fourth proportional to 1,892.43, 2,611.49 and 1,106.42 is: 1,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.43 : 2,611.49 = 1,106.42 : x
  2. Step 2: Convert to fraction form
    1,892.43/2,611.49 = 1,106.42/x
  3. Step 3: Cross multiply
    1,892.43x = 2,611.49 × 1,106.42
  4. Step 4: Simplify right side
    1,892.43x = 2,889,386.18
  5. Step 5: Solve for x
    x = 2,889,386.18/1,892.43
  6. Step 6: Final answer
    x = 1,526.81

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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.