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Finding the Fourth Proportional to 2,448, 3,384.64 and 2,339.20

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Solution

The fourth proportional to 2,448, 3,384.64 and 2,339.20 is: 3,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448 : 3,384.64 = 2,339.20 : x
  2. Step 2: Convert to fraction form
    2,448/3,384.64 = 2,339.20/x
  3. Step 3: Cross multiply
    2,448x = 3,384.64 × 2,339.20
  4. Step 4: Simplify right side
    2,448x = 7,917,349.89
  5. Step 5: Solve for x
    x = 7,917,349.89/2,448
  6. Step 6: Final answer
    x = 3,234.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.