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Finding the Fourth Proportional to 2,379.22, 3,568.85 and 647.85

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Solution

The fourth proportional to 2,379.22, 3,568.85 and 647.85 is: 971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.22 : 3,568.85 = 647.85 : x
  2. Step 2: Convert to fraction form
    2,379.22/3,568.85 = 647.85/x
  3. Step 3: Cross multiply
    2,379.22x = 3,568.85 × 647.85
  4. Step 4: Simplify right side
    2,379.22x = 2,312,079.47
  5. Step 5: Solve for x
    x = 2,312,079.47/2,379.22
  6. Step 6: Final answer
    x = 971.78

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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.