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Finding the Fourth Proportional to 1,991.34, 2,980.85 and 1,821.24

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Solution

The fourth proportional to 1,991.34, 2,980.85 and 1,821.24 is: 2,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.34 : 2,980.85 = 1,821.24 : x
  2. Step 2: Convert to fraction form
    1,991.34/2,980.85 = 1,821.24/x
  3. Step 3: Cross multiply
    1,991.34x = 2,980.85 × 1,821.24
  4. Step 4: Simplify right side
    1,991.34x = 5,428,834.15
  5. Step 5: Solve for x
    x = 5,428,834.15/1,991.34
  6. Step 6: Final answer
    x = 2,726.22

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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.