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Finding the Fourth Proportional to 2,053.04, 2,833.22 and 1,168.86

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Solution

The fourth proportional to 2,053.04, 2,833.22 and 1,168.86 is: 1,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.04 : 2,833.22 = 1,168.86 : x
  2. Step 2: Convert to fraction form
    2,053.04/2,833.22 = 1,168.86/x
  3. Step 3: Cross multiply
    2,053.04x = 2,833.22 × 1,168.86
  4. Step 4: Simplify right side
    2,053.04x = 3,311,631.68
  5. Step 5: Solve for x
    x = 3,311,631.68/2,053.04
  6. Step 6: Final answer
    x = 1,613.04

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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.