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Finding the Fourth Proportional to 2,185.96, 3,279.50 and 647.08

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Solution

The fourth proportional to 2,185.96, 3,279.50 and 647.08 is: 970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.96 : 3,279.50 = 647.08 : x
  2. Step 2: Convert to fraction form
    2,185.96/3,279.50 = 647.08/x
  3. Step 3: Cross multiply
    2,185.96x = 3,279.50 × 647.08
  4. Step 4: Simplify right side
    2,185.96x = 2,122,098.86
  5. Step 5: Solve for x
    x = 2,122,098.86/2,185.96
  6. Step 6: Final answer
    x = 970.79

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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.