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Finding the Fourth Proportional to 2,730.25, 4,094.85 and 880.92

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Solution

The fourth proportional to 2,730.25, 4,094.85 and 880.92 is: 1,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.25 : 4,094.85 = 880.92 : x
  2. Step 2: Convert to fraction form
    2,730.25/4,094.85 = 880.92/x
  3. Step 3: Cross multiply
    2,730.25x = 4,094.85 × 880.92
  4. Step 4: Simplify right side
    2,730.25x = 3,607,238.57
  5. Step 5: Solve for x
    x = 3,607,238.57/2,730.25
  6. Step 6: Final answer
    x = 1,321.21

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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.