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Finding the Fourth Proportional to 2,827.32, 4,240.26 and 878.52

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Solution

The fourth proportional to 2,827.32, 4,240.26 and 878.52 is: 1,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.32 : 4,240.26 = 878.52 : x
  2. Step 2: Convert to fraction form
    2,827.32/4,240.26 = 878.52/x
  3. Step 3: Cross multiply
    2,827.32x = 4,240.26 × 878.52
  4. Step 4: Simplify right side
    2,827.32x = 3,725,153.22
  5. Step 5: Solve for x
    x = 3,725,153.22/2,827.32
  6. Step 6: Final answer
    x = 1,317.56

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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.