Home / 2,099.29-3,148.66-712.57

Finding the Fourth Proportional to 2,099.29, 3,148.66 and 712.57

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Solution

The fourth proportional to 2,099.29, 3,148.66 and 712.57 is: 1,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.29 : 3,148.66 = 712.57 : x
  2. Step 2: Convert to fraction form
    2,099.29/3,148.66 = 712.57/x
  3. Step 3: Cross multiply
    2,099.29x = 3,148.66 × 712.57
  4. Step 4: Simplify right side
    2,099.29x = 2,243,640.66
  5. Step 5: Solve for x
    x = 2,243,640.66/2,099.29
  6. Step 6: Final answer
    x = 1,068.76

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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.