Home / 2,089.38-2,883.34-1,157.88

Finding the Fourth Proportional to 2,089.38, 2,883.34 and 1,157.88

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Solution

The fourth proportional to 2,089.38, 2,883.34 and 1,157.88 is: 1,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.38 : 2,883.34 = 1,157.88 : x
  2. Step 2: Convert to fraction form
    2,089.38/2,883.34 = 1,157.88/x
  3. Step 3: Cross multiply
    2,089.38x = 2,883.34 × 1,157.88
  4. Step 4: Simplify right side
    2,089.38x = 3,338,561.72
  5. Step 5: Solve for x
    x = 3,338,561.72/2,089.38
  6. Step 6: Final answer
    x = 1,597.87

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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.