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Finding the Fourth Proportional to 2,650.20, 3,658.14 and 1,864.44

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Solution

The fourth proportional to 2,650.20, 3,658.14 and 1,864.44 is: 2,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.20 : 3,658.14 = 1,864.44 : x
  2. Step 2: Convert to fraction form
    2,650.20/3,658.14 = 1,864.44/x
  3. Step 3: Cross multiply
    2,650.20x = 3,658.14 × 1,864.44
  4. Step 4: Simplify right side
    2,650.20x = 6,820,382.54
  5. Step 5: Solve for x
    x = 6,820,382.54/2,650.20
  6. Step 6: Final answer
    x = 2,573.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.