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Finding the Fourth Proportional to 2,274.73, 3,412.28 and 887.96

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Solution

The fourth proportional to 2,274.73, 3,412.28 and 887.96 is: 1,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.73 : 3,412.28 = 887.96 : x
  2. Step 2: Convert to fraction form
    2,274.73/3,412.28 = 887.96/x
  3. Step 3: Cross multiply
    2,274.73x = 3,412.28 × 887.96
  4. Step 4: Simplify right side
    2,274.73x = 3,029,973.90
  5. Step 5: Solve for x
    x = 3,029,973.90/2,274.73
  6. Step 6: Final answer
    x = 1,332.01

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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.