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Finding the Fourth Proportional to 1,991.19, 2,986.39 and 1,892.40

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Solution

The fourth proportional to 1,991.19, 2,986.39 and 1,892.40 is: 2,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.19 : 2,986.39 = 1,892.40 : x
  2. Step 2: Convert to fraction form
    1,991.19/2,986.39 = 1,892.40/x
  3. Step 3: Cross multiply
    1,991.19x = 2,986.39 × 1,892.40
  4. Step 4: Simplify right side
    1,991.19x = 5,651,444.00
  5. Step 5: Solve for x
    x = 5,651,444.00/1,991.19
  6. Step 6: Final answer
    x = 2,838.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.