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Finding the Fourth Proportional to 2,035.38, 3,053.26 and 574.54

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Solution

The fourth proportional to 2,035.38, 3,053.26 and 574.54 is: 861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.38 : 3,053.26 = 574.54 : x
  2. Step 2: Convert to fraction form
    2,035.38/3,053.26 = 574.54/x
  3. Step 3: Cross multiply
    2,035.38x = 3,053.26 × 574.54
  4. Step 4: Simplify right side
    2,035.38x = 1,754,220.00
  5. Step 5: Solve for x
    x = 1,754,220.00/2,035.38
  6. Step 6: Final answer
    x = 861.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.