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Finding the Fourth Proportional to 2,830.70, 3,906.98 and 2,160.25

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Solution

The fourth proportional to 2,830.70, 3,906.98 and 2,160.25 is: 2,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.70 : 3,906.98 = 2,160.25 : x
  2. Step 2: Convert to fraction form
    2,830.70/3,906.98 = 2,160.25/x
  3. Step 3: Cross multiply
    2,830.70x = 3,906.98 × 2,160.25
  4. Step 4: Simplify right side
    2,830.70x = 8,440,053.55
  5. Step 5: Solve for x
    x = 8,440,053.55/2,830.70
  6. Step 6: Final answer
    x = 2,981.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.