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Finding the Fourth Proportional to 2,288.71, 3,433.19 and 645.39

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Solution

The fourth proportional to 2,288.71, 3,433.19 and 645.39 is: 968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.71 : 3,433.19 = 645.39 : x
  2. Step 2: Convert to fraction form
    2,288.71/3,433.19 = 645.39/x
  3. Step 3: Cross multiply
    2,288.71x = 3,433.19 × 645.39
  4. Step 4: Simplify right side
    2,288.71x = 2,215,729.33
  5. Step 5: Solve for x
    x = 2,215,729.33/2,288.71
  6. Step 6: Final answer
    x = 968.11

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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.