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Finding the Fourth Proportional to 2,294.76, 3,425.50 and 2,123.44

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Solution

The fourth proportional to 2,294.76, 3,425.50 and 2,123.44 is: 3,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.76 : 3,425.50 = 2,123.44 : x
  2. Step 2: Convert to fraction form
    2,294.76/3,425.50 = 2,123.44/x
  3. Step 3: Cross multiply
    2,294.76x = 3,425.50 × 2,123.44
  4. Step 4: Simplify right side
    2,294.76x = 7,273,850.43
  5. Step 5: Solve for x
    x = 7,273,850.43/2,294.76
  6. Step 6: Final answer
    x = 3,169.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.