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Finding the Fourth Proportional to 2,057.69, 2,836.28 and 1,608.76

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Solution

The fourth proportional to 2,057.69, 2,836.28 and 1,608.76 is: 2,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.69 : 2,836.28 = 1,608.76 : x
  2. Step 2: Convert to fraction form
    2,057.69/2,836.28 = 1,608.76/x
  3. Step 3: Cross multiply
    2,057.69x = 2,836.28 × 1,608.76
  4. Step 4: Simplify right side
    2,057.69x = 4,562,901.38
  5. Step 5: Solve for x
    x = 4,562,901.38/2,057.69
  6. Step 6: Final answer
    x = 2,217.49

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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.