Home / 1,942.92-2,681.28-1,157.04

Finding the Fourth Proportional to 1,942.92, 2,681.28 and 1,157.04

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Solution

The fourth proportional to 1,942.92, 2,681.28 and 1,157.04 is: 1,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.92 : 2,681.28 = 1,157.04 : x
  2. Step 2: Convert to fraction form
    1,942.92/2,681.28 = 1,157.04/x
  3. Step 3: Cross multiply
    1,942.92x = 2,681.28 × 1,157.04
  4. Step 4: Simplify right side
    1,942.92x = 3,102,348.21
  5. Step 5: Solve for x
    x = 3,102,348.21/1,942.92
  6. Step 6: Final answer
    x = 1,596.75

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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.