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Finding the Fourth Proportional to 2,426.76, 3,349.22 and 2,350.22

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Solution

The fourth proportional to 2,426.76, 3,349.22 and 2,350.22 is: 3,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.76 : 3,349.22 = 2,350.22 : x
  2. Step 2: Convert to fraction form
    2,426.76/3,349.22 = 2,350.22/x
  3. Step 3: Cross multiply
    2,426.76x = 3,349.22 × 2,350.22
  4. Step 4: Simplify right side
    2,426.76x = 7,871,375.33
  5. Step 5: Solve for x
    x = 7,871,375.33/2,426.76
  6. Step 6: Final answer
    x = 3,243.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.