Home / 2,099.16-3,147.17-711.63

Finding the Fourth Proportional to 2,099.16, 3,147.17 and 711.63

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Solution

The fourth proportional to 2,099.16, 3,147.17 and 711.63 is: 1,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.16 : 3,147.17 = 711.63 : x
  2. Step 2: Convert to fraction form
    2,099.16/3,147.17 = 711.63/x
  3. Step 3: Cross multiply
    2,099.16x = 3,147.17 × 711.63
  4. Step 4: Simplify right side
    2,099.16x = 2,239,617.03
  5. Step 5: Solve for x
    x = 2,239,617.03/2,099.16
  6. Step 6: Final answer
    x = 1,066.91

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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.