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Finding the Fourth Proportional to 1,900.20, 2,849.82 and 804.24

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Solution

The fourth proportional to 1,900.20, 2,849.82 and 804.24 is: 1,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.20 : 2,849.82 = 804.24 : x
  2. Step 2: Convert to fraction form
    1,900.20/2,849.82 = 804.24/x
  3. Step 3: Cross multiply
    1,900.20x = 2,849.82 × 804.24
  4. Step 4: Simplify right side
    1,900.20x = 2,291,939.24
  5. Step 5: Solve for x
    x = 2,291,939.24/1,900.20
  6. Step 6: Final answer
    x = 1,206.16

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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.