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Finding the Fourth Proportional to 2,796.12, 3,858.03 and 1,734.35

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Solution

The fourth proportional to 2,796.12, 3,858.03 and 1,734.35 is: 2,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.12 : 3,858.03 = 1,734.35 : x
  2. Step 2: Convert to fraction form
    2,796.12/3,858.03 = 1,734.35/x
  3. Step 3: Cross multiply
    2,796.12x = 3,858.03 × 1,734.35
  4. Step 4: Simplify right side
    2,796.12x = 6,691,155.04
  5. Step 5: Solve for x
    x = 6,691,155.04/2,796.12
  6. Step 6: Final answer
    x = 2,393.01

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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.