Home / 2,099.16-3,148.05-712.14

Finding the Fourth Proportional to 2,099.16, 3,148.05 and 712.14

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Solution

The fourth proportional to 2,099.16, 3,148.05 and 712.14 is: 1,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.16 : 3,148.05 = 712.14 : x
  2. Step 2: Convert to fraction form
    2,099.16/3,148.05 = 712.14/x
  3. Step 3: Cross multiply
    2,099.16x = 3,148.05 × 712.14
  4. Step 4: Simplify right side
    2,099.16x = 2,241,852.33
  5. Step 5: Solve for x
    x = 2,241,852.33/2,099.16
  6. Step 6: Final answer
    x = 1,067.98

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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.