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Finding the Fourth Proportional to 2,272.86, 3,131.85 and 1,828.98

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Solution

The fourth proportional to 2,272.86, 3,131.85 and 1,828.98 is: 2,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.86 : 3,131.85 = 1,828.98 : x
  2. Step 2: Convert to fraction form
    2,272.86/3,131.85 = 1,828.98/x
  3. Step 3: Cross multiply
    2,272.86x = 3,131.85 × 1,828.98
  4. Step 4: Simplify right side
    2,272.86x = 5,728,091.01
  5. Step 5: Solve for x
    x = 5,728,091.01/2,272.86
  6. Step 6: Final answer
    x = 2,520.21

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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.