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Finding the Fourth Proportional to 3,370.12, 4,650.62 and 1,878

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Solution

The fourth proportional to 3,370.12, 4,650.62 and 1,878 is: 2,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.12 : 4,650.62 = 1,878 : x
  2. Step 2: Convert to fraction form
    3,370.12/4,650.62 = 1,878/x
  3. Step 3: Cross multiply
    3,370.12x = 4,650.62 × 1,878
  4. Step 4: Simplify right side
    3,370.12x = 8,733,864.36
  5. Step 5: Solve for x
    x = 8,733,864.36/3,370.12
  6. Step 6: Final answer
    x = 2,591.56

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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.