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Finding the Fourth Proportional to 2,455.36, 3,683.44 and 724.16

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Solution

The fourth proportional to 2,455.36, 3,683.44 and 724.16 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.36 : 3,683.44 = 724.16 : x
  2. Step 2: Convert to fraction form
    2,455.36/3,683.44 = 724.16/x
  3. Step 3: Cross multiply
    2,455.36x = 3,683.44 × 724.16
  4. Step 4: Simplify right side
    2,455.36x = 2,667,399.91
  5. Step 5: Solve for x
    x = 2,667,399.91/2,455.36
  6. Step 6: Final answer
    x = 1,086.36

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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.