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Finding the Fourth Proportional to 1,959.09, 2,703.93 and 1,162.85

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Solution

The fourth proportional to 1,959.09, 2,703.93 and 1,162.85 is: 1,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.09 : 2,703.93 = 1,162.85 : x
  2. Step 2: Convert to fraction form
    1,959.09/2,703.93 = 1,162.85/x
  3. Step 3: Cross multiply
    1,959.09x = 2,703.93 × 1,162.85
  4. Step 4: Simplify right side
    1,959.09x = 3,144,247.12
  5. Step 5: Solve for x
    x = 3,144,247.12/1,959.09
  6. Step 6: Final answer
    x = 1,604.96

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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.