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Finding the Fourth Proportional to 2,274.98, 3,412.62 and 887.85

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Solution

The fourth proportional to 2,274.98, 3,412.62 and 887.85 is: 1,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.98 : 3,412.62 = 887.85 : x
  2. Step 2: Convert to fraction form
    2,274.98/3,412.62 = 887.85/x
  3. Step 3: Cross multiply
    2,274.98x = 3,412.62 × 887.85
  4. Step 4: Simplify right side
    2,274.98x = 3,029,894.67
  5. Step 5: Solve for x
    x = 3,029,894.67/2,274.98
  6. Step 6: Final answer
    x = 1,331.84

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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.