Home / 2,257.96-3,384.24-1,162.84

Finding the Fourth Proportional to 2,257.96, 3,384.24 and 1,162.84

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Solution

The fourth proportional to 2,257.96, 3,384.24 and 1,162.84 is: 1,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.96 : 3,384.24 = 1,162.84 : x
  2. Step 2: Convert to fraction form
    2,257.96/3,384.24 = 1,162.84/x
  3. Step 3: Cross multiply
    2,257.96x = 3,384.24 × 1,162.84
  4. Step 4: Simplify right side
    2,257.96x = 3,935,329.64
  5. Step 5: Solve for x
    x = 3,935,329.64/2,257.96
  6. Step 6: Final answer
    x = 1,742.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.