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Finding the Fourth Proportional to 2,294.28, 3,164.48 and 2,105.84

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Solution

The fourth proportional to 2,294.28, 3,164.48 and 2,105.84 is: 2,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.28 : 3,164.48 = 2,105.84 : x
  2. Step 2: Convert to fraction form
    2,294.28/3,164.48 = 2,105.84/x
  3. Step 3: Cross multiply
    2,294.28x = 3,164.48 × 2,105.84
  4. Step 4: Simplify right side
    2,294.28x = 6,663,888.56
  5. Step 5: Solve for x
    x = 6,663,888.56/2,294.28
  6. Step 6: Final answer
    x = 2,904.57

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