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Finding the Fourth Proportional to 2,399.60, 3,601.08 and 920.24

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Solution

The fourth proportional to 2,399.60, 3,601.08 and 920.24 is: 1,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.60 : 3,601.08 = 920.24 : x
  2. Step 2: Convert to fraction form
    2,399.60/3,601.08 = 920.24/x
  3. Step 3: Cross multiply
    2,399.60x = 3,601.08 × 920.24
  4. Step 4: Simplify right side
    2,399.60x = 3,313,857.86
  5. Step 5: Solve for x
    x = 3,313,857.86/2,399.60
  6. Step 6: Final answer
    x = 1,381.00

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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.