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Finding the Fourth Proportional to 1,448, 1,996.80 and 1,185.20

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Solution

The fourth proportional to 1,448, 1,996.80 and 1,185.20 is: 1,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448 : 1,996.80 = 1,185.20 : x
  2. Step 2: Convert to fraction form
    1,448/1,996.80 = 1,185.20/x
  3. Step 3: Cross multiply
    1,448x = 1,996.80 × 1,185.20
  4. Step 4: Simplify right side
    1,448x = 2,366,607.36
  5. Step 5: Solve for x
    x = 2,366,607.36/1,448
  6. Step 6: Final answer
    x = 1,634.40

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Why These Related Problems?

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