Home / 2,742.96-4,114.80-1,282.44

Finding the Fourth Proportional to 2,742.96, 4,114.80 and 1,282.44

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Solution

The fourth proportional to 2,742.96, 4,114.80 and 1,282.44 is: 1,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.96 : 4,114.80 = 1,282.44 : x
  2. Step 2: Convert to fraction form
    2,742.96/4,114.80 = 1,282.44/x
  3. Step 3: Cross multiply
    2,742.96x = 4,114.80 × 1,282.44
  4. Step 4: Simplify right side
    2,742.96x = 5,276,984.11
  5. Step 5: Solve for x
    x = 5,276,984.11/2,742.96
  6. Step 6: Final answer
    x = 1,923.83

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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.