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Finding the Fourth Proportional to 2,120.86, 3,181.98 and 888.61

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Solution

The fourth proportional to 2,120.86, 3,181.98 and 888.61 is: 1,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.86 : 3,181.98 = 888.61 : x
  2. Step 2: Convert to fraction form
    2,120.86/3,181.98 = 888.61/x
  3. Step 3: Cross multiply
    2,120.86x = 3,181.98 × 888.61
  4. Step 4: Simplify right side
    2,120.86x = 2,827,539.25
  5. Step 5: Solve for x
    x = 2,827,539.25/2,120.86
  6. Step 6: Final answer
    x = 1,333.20

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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.