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Finding the Fourth Proportional to 2,989.75, 4,126.10 and 1,747.99

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Solution

The fourth proportional to 2,989.75, 4,126.10 and 1,747.99 is: 2,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.75 : 4,126.10 = 1,747.99 : x
  2. Step 2: Convert to fraction form
    2,989.75/4,126.10 = 1,747.99/x
  3. Step 3: Cross multiply
    2,989.75x = 4,126.10 × 1,747.99
  4. Step 4: Simplify right side
    2,989.75x = 7,212,381.54
  5. Step 5: Solve for x
    x = 7,212,381.54/2,989.75
  6. Step 6: Final answer
    x = 2,412.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.