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Finding the Fourth Proportional to 3,370.64, 4,651.20 and 1,878.44

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Solution

The fourth proportional to 3,370.64, 4,651.20 and 1,878.44 is: 2,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.64 : 4,651.20 = 1,878.44 : x
  2. Step 2: Convert to fraction form
    3,370.64/4,651.20 = 1,878.44/x
  3. Step 3: Cross multiply
    3,370.64x = 4,651.20 × 1,878.44
  4. Step 4: Simplify right side
    3,370.64x = 8,737,000.13
  5. Step 5: Solve for x
    x = 8,737,000.13/3,370.64
  6. Step 6: Final answer
    x = 2,592.09

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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.