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Finding the Fourth Proportional to 1,540.99, 2,309.91 and 809.02

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Solution

The fourth proportional to 1,540.99, 2,309.91 and 809.02 is: 1,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.99 : 2,309.91 = 809.02 : x
  2. Step 2: Convert to fraction form
    1,540.99/2,309.91 = 809.02/x
  3. Step 3: Cross multiply
    1,540.99x = 2,309.91 × 809.02
  4. Step 4: Simplify right side
    1,540.99x = 1,868,763.39
  5. Step 5: Solve for x
    x = 1,868,763.39/1,540.99
  6. Step 6: Final answer
    x = 1,212.70

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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.