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Finding the Fourth Proportional to 2,405.71, 3,608.57 and 1,107.01

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Solution

The fourth proportional to 2,405.71, 3,608.57 and 1,107.01 is: 1,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.71 : 3,608.57 = 1,107.01 : x
  2. Step 2: Convert to fraction form
    2,405.71/3,608.57 = 1,107.01/x
  3. Step 3: Cross multiply
    2,405.71x = 3,608.57 × 1,107.01
  4. Step 4: Simplify right side
    2,405.71x = 3,994,723.08
  5. Step 5: Solve for x
    x = 3,994,723.08/2,405.71
  6. Step 6: Final answer
    x = 1,660.52

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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.