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Finding the Fourth Proportional to 2,693.84, 4,043.39 and 2,234.57

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Solution

The fourth proportional to 2,693.84, 4,043.39 and 2,234.57 is: 3,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.84 : 4,043.39 = 2,234.57 : x
  2. Step 2: Convert to fraction form
    2,693.84/4,043.39 = 2,234.57/x
  3. Step 3: Cross multiply
    2,693.84x = 4,043.39 × 2,234.57
  4. Step 4: Simplify right side
    2,693.84x = 9,035,206.60
  5. Step 5: Solve for x
    x = 9,035,206.60/2,693.84
  6. Step 6: Final answer
    x = 3,354.03

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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.