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Finding the Fourth Proportional to 2,435.97, 3,649.29 and 2,186.49

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Solution

The fourth proportional to 2,435.97, 3,649.29 and 2,186.49 is: 3,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.97 : 3,649.29 = 2,186.49 : x
  2. Step 2: Convert to fraction form
    2,435.97/3,649.29 = 2,186.49/x
  3. Step 3: Cross multiply
    2,435.97x = 3,649.29 × 2,186.49
  4. Step 4: Simplify right side
    2,435.97x = 7,979,141.58
  5. Step 5: Solve for x
    x = 7,979,141.58/2,435.97
  6. Step 6: Final answer
    x = 3,275.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.