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Finding the Fourth Proportional to 1,791.23, 2,471.85 and 1,005.19

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Solution

The fourth proportional to 1,791.23, 2,471.85 and 1,005.19 is: 1,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.23 : 2,471.85 = 1,005.19 : x
  2. Step 2: Convert to fraction form
    1,791.23/2,471.85 = 1,005.19/x
  3. Step 3: Cross multiply
    1,791.23x = 2,471.85 × 1,005.19
  4. Step 4: Simplify right side
    1,791.23x = 2,484,672.72
  5. Step 5: Solve for x
    x = 2,484,672.72/1,791.23
  6. Step 6: Final answer
    x = 1,387.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.