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Finding the Fourth Proportional to 2,897.25, 4,334.94 and 1,796.46

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Solution

The fourth proportional to 2,897.25, 4,334.94 and 1,796.46 is: 2,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.25 : 4,334.94 = 1,796.46 : x
  2. Step 2: Convert to fraction form
    2,897.25/4,334.94 = 1,796.46/x
  3. Step 3: Cross multiply
    2,897.25x = 4,334.94 × 1,796.46
  4. Step 4: Simplify right side
    2,897.25x = 7,787,546.31
  5. Step 5: Solve for x
    x = 7,787,546.31/2,897.25
  6. Step 6: Final answer
    x = 2,687.91

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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.