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Finding the Fourth Proportional to 3,301.60, 4,555.94 and 1,974.82

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Solution

The fourth proportional to 3,301.60, 4,555.94 and 1,974.82 is: 2,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.60 : 4,555.94 = 1,974.82 : x
  2. Step 2: Convert to fraction form
    3,301.60/4,555.94 = 1,974.82/x
  3. Step 3: Cross multiply
    3,301.60x = 4,555.94 × 1,974.82
  4. Step 4: Simplify right side
    3,301.60x = 8,997,161.43
  5. Step 5: Solve for x
    x = 8,997,161.43/3,301.60
  6. Step 6: Final answer
    x = 2,725.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.