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Finding the Fourth Proportional to 1,993.34, 2,989.31 and 761.09

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Solution

The fourth proportional to 1,993.34, 2,989.31 and 761.09 is: 1,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.34 : 2,989.31 = 761.09 : x
  2. Step 2: Convert to fraction form
    1,993.34/2,989.31 = 761.09/x
  3. Step 3: Cross multiply
    1,993.34x = 2,989.31 × 761.09
  4. Step 4: Simplify right side
    1,993.34x = 2,275,143.32
  5. Step 5: Solve for x
    x = 2,275,143.32/1,993.34
  6. Step 6: Final answer
    x = 1,141.38

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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.