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Finding the Fourth Proportional to 1,993.79, 2,990.57 and 744.14

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Solution

The fourth proportional to 1,993.79, 2,990.57 and 744.14 is: 1,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.79 : 2,990.57 = 744.14 : x
  2. Step 2: Convert to fraction form
    1,993.79/2,990.57 = 744.14/x
  3. Step 3: Cross multiply
    1,993.79x = 2,990.57 × 744.14
  4. Step 4: Simplify right side
    1,993.79x = 2,225,399.04
  5. Step 5: Solve for x
    x = 2,225,399.04/1,993.79
  6. Step 6: Final answer
    x = 1,116.17

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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.