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Finding the Fourth Proportional to 2,126.58, 3,188.82 and 665.72

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Solution

The fourth proportional to 2,126.58, 3,188.82 and 665.72 is: 998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.58 : 3,188.82 = 665.72 : x
  2. Step 2: Convert to fraction form
    2,126.58/3,188.82 = 665.72/x
  3. Step 3: Cross multiply
    2,126.58x = 3,188.82 × 665.72
  4. Step 4: Simplify right side
    2,126.58x = 2,122,861.25
  5. Step 5: Solve for x
    x = 2,122,861.25/2,126.58
  6. Step 6: Final answer
    x = 998.25

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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.