Home / 2,771.42-3,824.01-1,592.06

Finding the Fourth Proportional to 2,771.42, 3,824.01 and 1,592.06

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Solution

The fourth proportional to 2,771.42, 3,824.01 and 1,592.06 is: 2,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.42 : 3,824.01 = 1,592.06 : x
  2. Step 2: Convert to fraction form
    2,771.42/3,824.01 = 1,592.06/x
  3. Step 3: Cross multiply
    2,771.42x = 3,824.01 × 1,592.06
  4. Step 4: Simplify right side
    2,771.42x = 6,088,034.24
  5. Step 5: Solve for x
    x = 6,088,034.24/2,771.42
  6. Step 6: Final answer
    x = 2,196.72

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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.