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Finding the Fourth Proportional to 2,463.59, 3,690.32 and 1,639.21

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Solution

The fourth proportional to 2,463.59, 3,690.32 and 1,639.21 is: 2,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.59 : 3,690.32 = 1,639.21 : x
  2. Step 2: Convert to fraction form
    2,463.59/3,690.32 = 1,639.21/x
  3. Step 3: Cross multiply
    2,463.59x = 3,690.32 × 1,639.21
  4. Step 4: Simplify right side
    2,463.59x = 6,049,209.45
  5. Step 5: Solve for x
    x = 6,049,209.45/2,463.59
  6. Step 6: Final answer
    x = 2,455.44

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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.