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Finding the Fourth Proportional to 2,617.53, 3,924.67 and 1,230.27

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Solution

The fourth proportional to 2,617.53, 3,924.67 and 1,230.27 is: 1,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.53 : 3,924.67 = 1,230.27 : x
  2. Step 2: Convert to fraction form
    2,617.53/3,924.67 = 1,230.27/x
  3. Step 3: Cross multiply
    2,617.53x = 3,924.67 × 1,230.27
  4. Step 4: Simplify right side
    2,617.53x = 4,828,403.76
  5. Step 5: Solve for x
    x = 4,828,403.76/2,617.53
  6. Step 6: Final answer
    x = 1,844.64

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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.