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Finding the Fourth Proportional to 2,887.72, 4,327.86 and 2,107.66

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Solution

The fourth proportional to 2,887.72, 4,327.86 and 2,107.66 is: 3,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.72 : 4,327.86 = 2,107.66 : x
  2. Step 2: Convert to fraction form
    2,887.72/4,327.86 = 2,107.66/x
  3. Step 3: Cross multiply
    2,887.72x = 4,327.86 × 2,107.66
  4. Step 4: Simplify right side
    2,887.72x = 9,121,657.41
  5. Step 5: Solve for x
    x = 9,121,657.41/2,887.72
  6. Step 6: Final answer
    x = 3,158.77

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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.