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Finding the Fourth Proportional to 2,126.96, 3,189.21 and 1,424.98

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Solution

The fourth proportional to 2,126.96, 3,189.21 and 1,424.98 is: 2,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.96 : 3,189.21 = 1,424.98 : x
  2. Step 2: Convert to fraction form
    2,126.96/3,189.21 = 1,424.98/x
  3. Step 3: Cross multiply
    2,126.96x = 3,189.21 × 1,424.98
  4. Step 4: Simplify right side
    2,126.96x = 4,544,560.47
  5. Step 5: Solve for x
    x = 4,544,560.47/2,126.96
  6. Step 6: Final answer
    x = 2,136.65

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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.