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Finding the Fourth Proportional to 2,267.68, 3,399.12 and 968.48

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Solution

The fourth proportional to 2,267.68, 3,399.12 and 968.48 is: 1,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.68 : 3,399.12 = 968.48 : x
  2. Step 2: Convert to fraction form
    2,267.68/3,399.12 = 968.48/x
  3. Step 3: Cross multiply
    2,267.68x = 3,399.12 × 968.48
  4. Step 4: Simplify right side
    2,267.68x = 3,291,979.74
  5. Step 5: Solve for x
    x = 3,291,979.74/2,267.68
  6. Step 6: Final answer
    x = 1,451.70

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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.