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Finding the Fourth Proportional to 2,649.30, 3,655.11 and 2,252.34

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Solution

The fourth proportional to 2,649.30, 3,655.11 and 2,252.34 is: 3,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.30 : 3,655.11 = 2,252.34 : x
  2. Step 2: Convert to fraction form
    2,649.30/3,655.11 = 2,252.34/x
  3. Step 3: Cross multiply
    2,649.30x = 3,655.11 × 2,252.34
  4. Step 4: Simplify right side
    2,649.30x = 8,232,550.46
  5. Step 5: Solve for x
    x = 8,232,550.46/2,649.30
  6. Step 6: Final answer
    x = 3,107.44

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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.