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Finding the Fourth Proportional to 2,121.41, 3,181.54 and 888.57

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Solution

The fourth proportional to 2,121.41, 3,181.54 and 888.57 is: 1,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.41 : 3,181.54 = 888.57 : x
  2. Step 2: Convert to fraction form
    2,121.41/3,181.54 = 888.57/x
  3. Step 3: Cross multiply
    2,121.41x = 3,181.54 × 888.57
  4. Step 4: Simplify right side
    2,121.41x = 2,827,021.00
  5. Step 5: Solve for x
    x = 2,827,021.00/2,121.41
  6. Step 6: Final answer
    x = 1,332.61

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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.