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Finding the Fourth Proportional to 1,959.67, 2,703.49 and 1,203.13

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Solution

The fourth proportional to 1,959.67, 2,703.49 and 1,203.13 is: 1,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.67 : 2,703.49 = 1,203.13 : x
  2. Step 2: Convert to fraction form
    1,959.67/2,703.49 = 1,203.13/x
  3. Step 3: Cross multiply
    1,959.67x = 2,703.49 × 1,203.13
  4. Step 4: Simplify right side
    1,959.67x = 3,252,649.92
  5. Step 5: Solve for x
    x = 3,252,649.92/1,959.67
  6. Step 6: Final answer
    x = 1,659.79

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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.