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Finding the Fourth Proportional to 2,649.06, 3,656.87 and 1,755.15

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Solution

The fourth proportional to 2,649.06, 3,656.87 and 1,755.15 is: 2,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.06 : 3,656.87 = 1,755.15 : x
  2. Step 2: Convert to fraction form
    2,649.06/3,656.87 = 1,755.15/x
  3. Step 3: Cross multiply
    2,649.06x = 3,656.87 × 1,755.15
  4. Step 4: Simplify right side
    2,649.06x = 6,418,346.60
  5. Step 5: Solve for x
    x = 6,418,346.60/2,649.06
  6. Step 6: Final answer
    x = 2,422.88

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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.