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Finding the Fourth Proportional to 2,053.44, 2,833.56 and 1,612.38

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Solution

The fourth proportional to 2,053.44, 2,833.56 and 1,612.38 is: 2,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.44 : 2,833.56 = 1,612.38 : x
  2. Step 2: Convert to fraction form
    2,053.44/2,833.56 = 1,612.38/x
  3. Step 3: Cross multiply
    2,053.44x = 2,833.56 × 1,612.38
  4. Step 4: Simplify right side
    2,053.44x = 4,568,775.47
  5. Step 5: Solve for x
    x = 4,568,775.47/2,053.44
  6. Step 6: Final answer
    x = 2,224.94

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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.