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Finding the Fourth Proportional to 2,902.60, 4,348.14 and 1,874.44

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Solution

The fourth proportional to 2,902.60, 4,348.14 and 1,874.44 is: 2,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.60 : 4,348.14 = 1,874.44 : x
  2. Step 2: Convert to fraction form
    2,902.60/4,348.14 = 1,874.44/x
  3. Step 3: Cross multiply
    2,902.60x = 4,348.14 × 1,874.44
  4. Step 4: Simplify right side
    2,902.60x = 8,150,327.54
  5. Step 5: Solve for x
    x = 8,150,327.54/2,902.60
  6. Step 6: Final answer
    x = 2,807.94

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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.