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Finding the Fourth Proportional to 1,993.18, 2,989.13 and 726.57

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Solution

The fourth proportional to 1,993.18, 2,989.13 and 726.57 is: 1,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.18 : 2,989.13 = 726.57 : x
  2. Step 2: Convert to fraction form
    1,993.18/2,989.13 = 726.57/x
  3. Step 3: Cross multiply
    1,993.18x = 2,989.13 × 726.57
  4. Step 4: Simplify right side
    1,993.18x = 2,171,812.18
  5. Step 5: Solve for x
    x = 2,171,812.18/1,993.18
  6. Step 6: Final answer
    x = 1,089.62

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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.