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Finding the Fourth Proportional to 2,186.63, 3,279.94 and 647.63

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Solution

The fourth proportional to 2,186.63, 3,279.94 and 647.63 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.63 : 3,279.94 = 647.63 : x
  2. Step 2: Convert to fraction form
    2,186.63/3,279.94 = 647.63/x
  3. Step 3: Cross multiply
    2,186.63x = 3,279.94 × 647.63
  4. Step 4: Simplify right side
    2,186.63x = 2,124,169.52
  5. Step 5: Solve for x
    x = 2,124,169.52/2,186.63
  6. Step 6: Final answer
    x = 971.44

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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.