Home / 1,972.64-2,960.16-1,107.20

Finding the Fourth Proportional to 1,972.64, 2,960.16 and 1,107.20

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Solution

The fourth proportional to 1,972.64, 2,960.16 and 1,107.20 is: 1,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.64 : 2,960.16 = 1,107.20 : x
  2. Step 2: Convert to fraction form
    1,972.64/2,960.16 = 1,107.20/x
  3. Step 3: Cross multiply
    1,972.64x = 2,960.16 × 1,107.20
  4. Step 4: Simplify right side
    1,972.64x = 3,277,489.15
  5. Step 5: Solve for x
    x = 3,277,489.15/1,972.64
  6. Step 6: Final answer
    x = 1,661.47

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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.