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Finding the Fourth Proportional to 2,256.64, 3,386.03 and 796.48

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Solution

The fourth proportional to 2,256.64, 3,386.03 and 796.48 is: 1,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.64 : 3,386.03 = 796.48 : x
  2. Step 2: Convert to fraction form
    2,256.64/3,386.03 = 796.48/x
  3. Step 3: Cross multiply
    2,256.64x = 3,386.03 × 796.48
  4. Step 4: Simplify right side
    2,256.64x = 2,696,905.17
  5. Step 5: Solve for x
    x = 2,696,905.17/2,256.64
  6. Step 6: Final answer
    x = 1,195.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.