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Finding the Fourth Proportional to 1,900.40, 2,849.43 and 804.14

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Solution

The fourth proportional to 1,900.40, 2,849.43 and 804.14 is: 1,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.40 : 2,849.43 = 804.14 : x
  2. Step 2: Convert to fraction form
    1,900.40/2,849.43 = 804.14/x
  3. Step 3: Cross multiply
    1,900.40x = 2,849.43 × 804.14
  4. Step 4: Simplify right side
    1,900.40x = 2,291,340.64
  5. Step 5: Solve for x
    x = 2,291,340.64/1,900.40
  6. Step 6: Final answer
    x = 1,205.71

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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.