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Finding the Fourth Proportional to 2,035.52, 3,053.42 and 574.80

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Solution

The fourth proportional to 2,035.52, 3,053.42 and 574.80 is: 862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.52 : 3,053.42 = 574.80 : x
  2. Step 2: Convert to fraction form
    2,035.52/3,053.42 = 574.80/x
  3. Step 3: Cross multiply
    2,035.52x = 3,053.42 × 574.80
  4. Step 4: Simplify right side
    2,035.52x = 1,755,105.82
  5. Step 5: Solve for x
    x = 1,755,105.82/2,035.52
  6. Step 6: Final answer
    x = 862.24

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