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Finding the Fourth Proportional to 2,186.34, 3,279.78 and 647.34

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Solution

The fourth proportional to 2,186.34, 3,279.78 and 647.34 is: 971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.34 : 3,279.78 = 647.34 : x
  2. Step 2: Convert to fraction form
    2,186.34/3,279.78 = 647.34/x
  3. Step 3: Cross multiply
    2,186.34x = 3,279.78 × 647.34
  4. Step 4: Simplify right side
    2,186.34x = 2,123,132.79
  5. Step 5: Solve for x
    x = 2,123,132.79/2,186.34
  6. Step 6: Final answer
    x = 971.09

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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.