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Finding the Fourth Proportional to 2,053, 2,833.24 and 1,168.96

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Solution

The fourth proportional to 2,053, 2,833.24 and 1,168.96 is: 1,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053 : 2,833.24 = 1,168.96 : x
  2. Step 2: Convert to fraction form
    2,053/2,833.24 = 1,168.96/x
  3. Step 3: Cross multiply
    2,053x = 2,833.24 × 1,168.96
  4. Step 4: Simplify right side
    2,053x = 3,311,944.23
  5. Step 5: Solve for x
    x = 3,311,944.23/2,053
  6. Step 6: Final answer
    x = 1,613.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.