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Finding the Fourth Proportional to 2,242.90, 3,096.03 and 1,926.90

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Solution

The fourth proportional to 2,242.90, 3,096.03 and 1,926.90 is: 2,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.90 : 3,096.03 = 1,926.90 : x
  2. Step 2: Convert to fraction form
    2,242.90/3,096.03 = 1,926.90/x
  3. Step 3: Cross multiply
    2,242.90x = 3,096.03 × 1,926.90
  4. Step 4: Simplify right side
    2,242.90x = 5,965,747.43
  5. Step 5: Solve for x
    x = 5,965,747.43/2,242.90
  6. Step 6: Final answer
    x = 2,659.84

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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.