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Finding the Fourth Proportional to 2,650.90, 3,658.77 and 2,208.34

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Solution

The fourth proportional to 2,650.90, 3,658.77 and 2,208.34 is: 3,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.90 : 3,658.77 = 2,208.34 : x
  2. Step 2: Convert to fraction form
    2,650.90/3,658.77 = 2,208.34/x
  3. Step 3: Cross multiply
    2,650.90x = 3,658.77 × 2,208.34
  4. Step 4: Simplify right side
    2,650.90x = 8,079,808.14
  5. Step 5: Solve for x
    x = 8,079,808.14/2,650.90
  6. Step 6: Final answer
    x = 3,047.95

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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.