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Finding the Fourth Proportional to 3,107.53, 4,659.09 and 1,463.23

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Solution

The fourth proportional to 3,107.53, 4,659.09 and 1,463.23 is: 2,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.53 : 4,659.09 = 1,463.23 : x
  2. Step 2: Convert to fraction form
    3,107.53/4,659.09 = 1,463.23/x
  3. Step 3: Cross multiply
    3,107.53x = 4,659.09 × 1,463.23
  4. Step 4: Simplify right side
    3,107.53x = 6,817,320.26
  5. Step 5: Solve for x
    x = 6,817,320.26/3,107.53
  6. Step 6: Final answer
    x = 2,193.81

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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.