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Finding the Fourth Proportional to 2,649.30, 3,654.88 and 1,600.75

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Solution

The fourth proportional to 2,649.30, 3,654.88 and 1,600.75 is: 2,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.30 : 3,654.88 = 1,600.75 : x
  2. Step 2: Convert to fraction form
    2,649.30/3,654.88 = 1,600.75/x
  3. Step 3: Cross multiply
    2,649.30x = 3,654.88 × 1,600.75
  4. Step 4: Simplify right side
    2,649.30x = 5,850,549.16
  5. Step 5: Solve for x
    x = 5,850,549.16/2,649.30
  6. Step 6: Final answer
    x = 2,208.34

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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.