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Finding the Fourth Proportional to 2,035.73, 3,053.57 and 496.73

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Solution

The fourth proportional to 2,035.73, 3,053.57 and 496.73 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.73 : 3,053.57 = 496.73 : x
  2. Step 2: Convert to fraction form
    2,035.73/3,053.57 = 496.73/x
  3. Step 3: Cross multiply
    2,035.73x = 3,053.57 × 496.73
  4. Step 4: Simplify right side
    2,035.73x = 1,516,799.83
  5. Step 5: Solve for x
    x = 1,516,799.83/2,035.73
  6. Step 6: Final answer
    x = 745.09

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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.