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Finding the Fourth Proportional to 2,102.35, 2,894.98 and 2,055.73

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Solution

The fourth proportional to 2,102.35, 2,894.98 and 2,055.73 is: 2,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.35 : 2,894.98 = 2,055.73 : x
  2. Step 2: Convert to fraction form
    2,102.35/2,894.98 = 2,055.73/x
  3. Step 3: Cross multiply
    2,102.35x = 2,894.98 × 2,055.73
  4. Step 4: Simplify right side
    2,102.35x = 5,951,297.24
  5. Step 5: Solve for x
    x = 5,951,297.24/2,102.35
  6. Step 6: Final answer
    x = 2,830.78

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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.