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Finding the Fourth Proportional to 2,126.60, 3,190.08 and 665.75

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Solution

The fourth proportional to 2,126.60, 3,190.08 and 665.75 is: 998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.60 : 3,190.08 = 665.75 : x
  2. Step 2: Convert to fraction form
    2,126.60/3,190.08 = 665.75/x
  3. Step 3: Cross multiply
    2,126.60x = 3,190.08 × 665.75
  4. Step 4: Simplify right side
    2,126.60x = 2,123,795.76
  5. Step 5: Solve for x
    x = 2,123,795.76/2,126.60
  6. Step 6: Final answer
    x = 998.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.