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Finding the Fourth Proportional to 2,274.33, 3,408.98 and 2,089.80

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Solution

The fourth proportional to 2,274.33, 3,408.98 and 2,089.80 is: 3,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.33 : 3,408.98 = 2,089.80 : x
  2. Step 2: Convert to fraction form
    2,274.33/3,408.98 = 2,089.80/x
  3. Step 3: Cross multiply
    2,274.33x = 3,408.98 × 2,089.80
  4. Step 4: Simplify right side
    2,274.33x = 7,124,086.40
  5. Step 5: Solve for x
    x = 7,124,086.40/2,274.33
  6. Step 6: Final answer
    x = 3,132.39

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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.