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Finding the Fourth Proportional to 2,256.64, 3,385.36 and 796.64

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Solution

The fourth proportional to 2,256.64, 3,385.36 and 796.64 is: 1,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.64 : 3,385.36 = 796.64 : x
  2. Step 2: Convert to fraction form
    2,256.64/3,385.36 = 796.64/x
  3. Step 3: Cross multiply
    2,256.64x = 3,385.36 × 796.64
  4. Step 4: Simplify right side
    2,256.64x = 2,696,913.19
  5. Step 5: Solve for x
    x = 2,696,913.19/2,256.64
  6. Step 6: Final answer
    x = 1,195.10

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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.