Home / 2,214.16-3,319.11-827.11

Finding the Fourth Proportional to 2,214.16, 3,319.11 and 827.11

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Solution

The fourth proportional to 2,214.16, 3,319.11 and 827.11 is: 1,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.16 : 3,319.11 = 827.11 : x
  2. Step 2: Convert to fraction form
    2,214.16/3,319.11 = 827.11/x
  3. Step 3: Cross multiply
    2,214.16x = 3,319.11 × 827.11
  4. Step 4: Simplify right side
    2,214.16x = 2,745,269.07
  5. Step 5: Solve for x
    x = 2,745,269.07/2,214.16
  6. Step 6: Final answer
    x = 1,239.87

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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.