Home / 2,088.62-2,882.30-1,157.12

Finding the Fourth Proportional to 2,088.62, 2,882.30 and 1,157.12

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Solution

The fourth proportional to 2,088.62, 2,882.30 and 1,157.12 is: 1,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.62 : 2,882.30 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    2,088.62/2,882.30 = 1,157.12/x
  3. Step 3: Cross multiply
    2,088.62x = 2,882.30 × 1,157.12
  4. Step 4: Simplify right side
    2,088.62x = 3,335,166.98
  5. Step 5: Solve for x
    x = 3,335,166.98/2,088.62
  6. Step 6: Final answer
    x = 1,596.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.