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Finding the Fourth Proportional to 2,530.83, 3,793.90 and 1,295.52

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Solution

The fourth proportional to 2,530.83, 3,793.90 and 1,295.52 is: 1,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.83 : 3,793.90 = 1,295.52 : x
  2. Step 2: Convert to fraction form
    2,530.83/3,793.90 = 1,295.52/x
  3. Step 3: Cross multiply
    2,530.83x = 3,793.90 × 1,295.52
  4. Step 4: Simplify right side
    2,530.83x = 4,915,073.33
  5. Step 5: Solve for x
    x = 4,915,073.33/2,530.83
  6. Step 6: Final answer
    x = 1,942.08

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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.