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Finding the Fourth Proportional to 2,274.28, 3,412.46 and 888.64

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Solution

The fourth proportional to 2,274.28, 3,412.46 and 888.64 is: 1,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.28 : 3,412.46 = 888.64 : x
  2. Step 2: Convert to fraction form
    2,274.28/3,412.46 = 888.64/x
  3. Step 3: Cross multiply
    2,274.28x = 3,412.46 × 888.64
  4. Step 4: Simplify right side
    2,274.28x = 3,032,448.45
  5. Step 5: Solve for x
    x = 3,032,448.45/2,274.28
  6. Step 6: Final answer
    x = 1,333.37

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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.