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Finding the Fourth Proportional to 2,906.70, 4,013.55 and 2,199.66

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Solution

The fourth proportional to 2,906.70, 4,013.55 and 2,199.66 is: 3,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.70 : 4,013.55 = 2,199.66 : x
  2. Step 2: Convert to fraction form
    2,906.70/4,013.55 = 2,199.66/x
  3. Step 3: Cross multiply
    2,906.70x = 4,013.55 × 2,199.66
  4. Step 4: Simplify right side
    2,906.70x = 8,828,445.39
  5. Step 5: Solve for x
    x = 8,828,445.39/2,906.70
  6. Step 6: Final answer
    x = 3,037.27

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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.