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Finding the Fourth Proportional to 2,828.16, 4,240.62 and 879.84

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Solution

The fourth proportional to 2,828.16, 4,240.62 and 879.84 is: 1,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.16 : 4,240.62 = 879.84 : x
  2. Step 2: Convert to fraction form
    2,828.16/4,240.62 = 879.84/x
  3. Step 3: Cross multiply
    2,828.16x = 4,240.62 × 879.84
  4. Step 4: Simplify right side
    2,828.16x = 3,731,067.10
  5. Step 5: Solve for x
    x = 3,731,067.10/2,828.16
  6. Step 6: Final answer
    x = 1,319.26

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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.