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Finding the Fourth Proportional to 2,801.34, 3,843.14 and 2,624.70

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Solution

The fourth proportional to 2,801.34, 3,843.14 and 2,624.70 is: 3,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.34 : 3,843.14 = 2,624.70 : x
  2. Step 2: Convert to fraction form
    2,801.34/3,843.14 = 2,624.70/x
  3. Step 3: Cross multiply
    2,801.34x = 3,843.14 × 2,624.70
  4. Step 4: Simplify right side
    2,801.34x = 10,087,076.43
  5. Step 5: Solve for x
    x = 10,087,076.43/2,801.34
  6. Step 6: Final answer
    x = 3,600.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.