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Finding the Fourth Proportional to 2,284.28, 3,426.66 and 618.68

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Solution

The fourth proportional to 2,284.28, 3,426.66 and 618.68 is: 928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.28 : 3,426.66 = 618.68 : x
  2. Step 2: Convert to fraction form
    2,284.28/3,426.66 = 618.68/x
  3. Step 3: Cross multiply
    2,284.28x = 3,426.66 × 618.68
  4. Step 4: Simplify right side
    2,284.28x = 2,120,006.01
  5. Step 5: Solve for x
    x = 2,120,006.01/2,284.28
  6. Step 6: Final answer
    x = 928.09

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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.