Home / 1,965.24-2,946.92-1,143.76

Finding the Fourth Proportional to 1,965.24, 2,946.92 and 1,143.76

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Solution

The fourth proportional to 1,965.24, 2,946.92 and 1,143.76 is: 1,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.24 : 2,946.92 = 1,143.76 : x
  2. Step 2: Convert to fraction form
    1,965.24/2,946.92 = 1,143.76/x
  3. Step 3: Cross multiply
    1,965.24x = 2,946.92 × 1,143.76
  4. Step 4: Simplify right side
    1,965.24x = 3,370,569.22
  5. Step 5: Solve for x
    x = 3,370,569.22/1,965.24
  6. Step 6: Final answer
    x = 1,715.09

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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.