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Finding the Fourth Proportional to 2,828.66, 3,900.92 and 2,269.15

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Solution

The fourth proportional to 2,828.66, 3,900.92 and 2,269.15 is: 3,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.66 : 3,900.92 = 2,269.15 : x
  2. Step 2: Convert to fraction form
    2,828.66/3,900.92 = 2,269.15/x
  3. Step 3: Cross multiply
    2,828.66x = 3,900.92 × 2,269.15
  4. Step 4: Simplify right side
    2,828.66x = 8,851,751.52
  5. Step 5: Solve for x
    x = 8,851,751.52/2,828.66
  6. Step 6: Final answer
    x = 3,129.31

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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.