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Finding the Fourth Proportional to 2,293.99, 3,434.15 and 2,254.81

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Solution

The fourth proportional to 2,293.99, 3,434.15 and 2,254.81 is: 3,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.99 : 3,434.15 = 2,254.81 : x
  2. Step 2: Convert to fraction form
    2,293.99/3,434.15 = 2,254.81/x
  3. Step 3: Cross multiply
    2,293.99x = 3,434.15 × 2,254.81
  4. Step 4: Simplify right side
    2,293.99x = 7,743,346.57
  5. Step 5: Solve for x
    x = 7,743,346.57/2,293.99
  6. Step 6: Final answer
    x = 3,375.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.