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Finding the Fourth Proportional to 2,272.60, 3,404.85 and 2,137.06

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Solution

The fourth proportional to 2,272.60, 3,404.85 and 2,137.06 is: 3,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.60 : 3,404.85 = 2,137.06 : x
  2. Step 2: Convert to fraction form
    2,272.60/3,404.85 = 2,137.06/x
  3. Step 3: Cross multiply
    2,272.60x = 3,404.85 × 2,137.06
  4. Step 4: Simplify right side
    2,272.60x = 7,276,368.74
  5. Step 5: Solve for x
    x = 7,276,368.74/2,272.60
  6. Step 6: Final answer
    x = 3,201.78

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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.