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Finding the Fourth Proportional to 1,991.80, 2,989.05 and 693.25

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Solution

The fourth proportional to 1,991.80, 2,989.05 and 693.25 is: 1,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.80 : 2,989.05 = 693.25 : x
  2. Step 2: Convert to fraction form
    1,991.80/2,989.05 = 693.25/x
  3. Step 3: Cross multiply
    1,991.80x = 2,989.05 × 693.25
  4. Step 4: Simplify right side
    1,991.80x = 2,072,158.91
  5. Step 5: Solve for x
    x = 2,072,158.91/1,991.80
  6. Step 6: Final answer
    x = 1,040.34

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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.