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Finding the Fourth Proportional to 2,292.54, 3,181.01 and 2,200

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Solution

The fourth proportional to 2,292.54, 3,181.01 and 2,200 is: 3,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.54 : 3,181.01 = 2,200 : x
  2. Step 2: Convert to fraction form
    2,292.54/3,181.01 = 2,200/x
  3. Step 3: Cross multiply
    2,292.54x = 3,181.01 × 2,200
  4. Step 4: Simplify right side
    2,292.54x = 6,998,222.00
  5. Step 5: Solve for x
    x = 6,998,222.00/2,292.54
  6. Step 6: Final answer
    x = 3,052.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.