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Finding the Fourth Proportional to 2,826.12, 4,239.72 and 877.92

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Solution

The fourth proportional to 2,826.12, 4,239.72 and 877.92 is: 1,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.12 : 4,239.72 = 877.92 : x
  2. Step 2: Convert to fraction form
    2,826.12/4,239.72 = 877.92/x
  3. Step 3: Cross multiply
    2,826.12x = 4,239.72 × 877.92
  4. Step 4: Simplify right side
    2,826.12x = 3,722,134.98
  5. Step 5: Solve for x
    x = 3,722,134.98/2,826.12
  6. Step 6: Final answer
    x = 1,317.05

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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.