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Finding the Fourth Proportional to 1,901.29, 2,851.94 and 804.91

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Solution

The fourth proportional to 1,901.29, 2,851.94 and 804.91 is: 1,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.29 : 2,851.94 = 804.91 : x
  2. Step 2: Convert to fraction form
    1,901.29/2,851.94 = 804.91/x
  3. Step 3: Cross multiply
    1,901.29x = 2,851.94 × 804.91
  4. Step 4: Simplify right side
    1,901.29x = 2,295,555.03
  5. Step 5: Solve for x
    x = 2,295,555.03/1,901.29
  6. Step 6: Final answer
    x = 1,207.37

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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.