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Finding the Fourth Proportional to 2,053.56, 2,832.72 and 1,169.18

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Solution

The fourth proportional to 2,053.56, 2,832.72 and 1,169.18 is: 1,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.56 : 2,832.72 = 1,169.18 : x
  2. Step 2: Convert to fraction form
    2,053.56/2,832.72 = 1,169.18/x
  3. Step 3: Cross multiply
    2,053.56x = 2,832.72 × 1,169.18
  4. Step 4: Simplify right side
    2,053.56x = 3,311,959.57
  5. Step 5: Solve for x
    x = 3,311,959.57/2,053.56
  6. Step 6: Final answer
    x = 1,612.79

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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.