Home / 2,742.24-4,114.72-1,099.26

Finding the Fourth Proportional to 2,742.24, 4,114.72 and 1,099.26

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Solution

The fourth proportional to 2,742.24, 4,114.72 and 1,099.26 is: 1,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.24 : 4,114.72 = 1,099.26 : x
  2. Step 2: Convert to fraction form
    2,742.24/4,114.72 = 1,099.26/x
  3. Step 3: Cross multiply
    2,742.24x = 4,114.72 × 1,099.26
  4. Step 4: Simplify right side
    2,742.24x = 4,523,147.11
  5. Step 5: Solve for x
    x = 4,523,147.11/2,742.24
  6. Step 6: Final answer
    x = 1,649.44

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1.5x scale

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.