Home / 1,972.80-2,956.32-1,107.36

Finding the Fourth Proportional to 1,972.80, 2,956.32 and 1,107.36

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Solution

The fourth proportional to 1,972.80, 2,956.32 and 1,107.36 is: 1,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.80 : 2,956.32 = 1,107.36 : x
  2. Step 2: Convert to fraction form
    1,972.80/2,956.32 = 1,107.36/x
  3. Step 3: Cross multiply
    1,972.80x = 2,956.32 × 1,107.36
  4. Step 4: Simplify right side
    1,972.80x = 3,273,710.52
  5. Step 5: Solve for x
    x = 3,273,710.52/1,972.80
  6. Step 6: Final answer
    x = 1,659.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.