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Finding the Fourth Proportional to 2,186.45, 3,279.66 and 887.91

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Solution

The fourth proportional to 2,186.45, 3,279.66 and 887.91 is: 1,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.45 : 3,279.66 = 887.91 : x
  2. Step 2: Convert to fraction form
    2,186.45/3,279.66 = 887.91/x
  3. Step 3: Cross multiply
    2,186.45x = 3,279.66 × 887.91
  4. Step 4: Simplify right side
    2,186.45x = 2,912,042.91
  5. Step 5: Solve for x
    x = 2,912,042.91/2,186.45
  6. Step 6: Final answer
    x = 1,331.86

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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.