Home / 2,099.20-3,147.76-1,406.64

Finding the Fourth Proportional to 2,099.20, 3,147.76 and 1,406.64

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Solution

The fourth proportional to 2,099.20, 3,147.76 and 1,406.64 is: 2,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.20 : 3,147.76 = 1,406.64 : x
  2. Step 2: Convert to fraction form
    2,099.20/3,147.76 = 1,406.64/x
  3. Step 3: Cross multiply
    2,099.20x = 3,147.76 × 1,406.64
  4. Step 4: Simplify right side
    2,099.20x = 4,427,765.13
  5. Step 5: Solve for x
    x = 4,427,765.13/2,099.20
  6. Step 6: Final answer
    x = 2,109.26

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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.