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Finding the Fourth Proportional to 1,959.45, 2,703.84 and 1,120.35

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Solution

The fourth proportional to 1,959.45, 2,703.84 and 1,120.35 is: 1,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.45 : 2,703.84 = 1,120.35 : x
  2. Step 2: Convert to fraction form
    1,959.45/2,703.84 = 1,120.35/x
  3. Step 3: Cross multiply
    1,959.45x = 2,703.84 × 1,120.35
  4. Step 4: Simplify right side
    1,959.45x = 3,029,247.14
  5. Step 5: Solve for x
    x = 3,029,247.14/1,959.45
  6. Step 6: Final answer
    x = 1,545.97

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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.