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Finding the Fourth Proportional to 2,207.61, 3,310.71 and 647.73

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Solution

The fourth proportional to 2,207.61, 3,310.71 and 647.73 is: 971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.61 : 3,310.71 = 647.73 : x
  2. Step 2: Convert to fraction form
    2,207.61/3,310.71 = 647.73/x
  3. Step 3: Cross multiply
    2,207.61x = 3,310.71 × 647.73
  4. Step 4: Simplify right side
    2,207.61x = 2,144,446.19
  5. Step 5: Solve for x
    x = 2,144,446.19/2,207.61
  6. Step 6: Final answer
    x = 971.39

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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.