Home / 2,088.38-2,882.15-1,157.06

Finding the Fourth Proportional to 2,088.38, 2,882.15 and 1,157.06

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Solution

The fourth proportional to 2,088.38, 2,882.15 and 1,157.06 is: 1,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.38 : 2,882.15 = 1,157.06 : x
  2. Step 2: Convert to fraction form
    2,088.38/2,882.15 = 1,157.06/x
  3. Step 3: Cross multiply
    2,088.38x = 2,882.15 × 1,157.06
  4. Step 4: Simplify right side
    2,088.38x = 3,334,800.28
  5. Step 5: Solve for x
    x = 3,334,800.28/2,088.38
  6. Step 6: Final answer
    x = 1,596.84

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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.