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Finding the Fourth Proportional to 1,993.34, 2,990.32 and 694.51

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Solution

The fourth proportional to 1,993.34, 2,990.32 and 694.51 is: 1,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.34 : 2,990.32 = 694.51 : x
  2. Step 2: Convert to fraction form
    1,993.34/2,990.32 = 694.51/x
  3. Step 3: Cross multiply
    1,993.34x = 2,990.32 × 694.51
  4. Step 4: Simplify right side
    1,993.34x = 2,076,797.93
  5. Step 5: Solve for x
    x = 2,076,797.93/1,993.34
  6. Step 6: Final answer
    x = 1,041.87

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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.