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Finding the Fourth Proportional to 2,265.80, 3,399.92 and 968.16

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Solution

The fourth proportional to 2,265.80, 3,399.92 and 968.16 is: 1,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.80 : 3,399.92 = 968.16 : x
  2. Step 2: Convert to fraction form
    2,265.80/3,399.92 = 968.16/x
  3. Step 3: Cross multiply
    2,265.80x = 3,399.92 × 968.16
  4. Step 4: Simplify right side
    2,265.80x = 3,291,666.55
  5. Step 5: Solve for x
    x = 3,291,666.55/2,265.80
  6. Step 6: Final answer
    x = 1,452.76

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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.