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Finding the Fourth Proportional to 2,686.64, 3,705.34 and 2,025.56

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Solution

The fourth proportional to 2,686.64, 3,705.34 and 2,025.56 is: 2,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.64 : 3,705.34 = 2,025.56 : x
  2. Step 2: Convert to fraction form
    2,686.64/3,705.34 = 2,025.56/x
  3. Step 3: Cross multiply
    2,686.64x = 3,705.34 × 2,025.56
  4. Step 4: Simplify right side
    2,686.64x = 7,505,388.49
  5. Step 5: Solve for x
    x = 7,505,388.49/2,686.64
  6. Step 6: Final answer
    x = 2,793.60

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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.