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Finding the Fourth Proportional to 1,993.04, 2,989.58 and 694.51

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Solution

The fourth proportional to 1,993.04, 2,989.58 and 694.51 is: 1,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.04 : 2,989.58 = 694.51 : x
  2. Step 2: Convert to fraction form
    1,993.04/2,989.58 = 694.51/x
  3. Step 3: Cross multiply
    1,993.04x = 2,989.58 × 694.51
  4. Step 4: Simplify right side
    1,993.04x = 2,076,274.79
  5. Step 5: Solve for x
    x = 2,076,274.79/1,993.04
  6. Step 6: Final answer
    x = 1,041.76

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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.