Home / 2,101.38-2,899.92-1,157.15

Finding the Fourth Proportional to 2,101.38, 2,899.92 and 1,157.15

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Solution

The fourth proportional to 2,101.38, 2,899.92 and 1,157.15 is: 1,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.38 : 2,899.92 = 1,157.15 : x
  2. Step 2: Convert to fraction form
    2,101.38/2,899.92 = 1,157.15/x
  3. Step 3: Cross multiply
    2,101.38x = 2,899.92 × 1,157.15
  4. Step 4: Simplify right side
    2,101.38x = 3,355,627.93
  5. Step 5: Solve for x
    x = 3,355,627.93/2,101.38
  6. Step 6: Final answer
    x = 1,596.87

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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.