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Finding the Fourth Proportional to 1,900.24, 2,850.66 and 804.61

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Solution

The fourth proportional to 1,900.24, 2,850.66 and 804.61 is: 1,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.24 : 2,850.66 = 804.61 : x
  2. Step 2: Convert to fraction form
    1,900.24/2,850.66 = 804.61/x
  3. Step 3: Cross multiply
    1,900.24x = 2,850.66 × 804.61
  4. Step 4: Simplify right side
    1,900.24x = 2,293,673.11
  5. Step 5: Solve for x
    x = 2,293,673.11/1,900.24
  6. Step 6: Final answer
    x = 1,207.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.