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Finding the Fourth Proportional to 2,705.83, 4,057.51 and 2,620.78

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Solution

The fourth proportional to 2,705.83, 4,057.51 and 2,620.78 is: 3,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.83 : 4,057.51 = 2,620.78 : x
  2. Step 2: Convert to fraction form
    2,705.83/4,057.51 = 2,620.78/x
  3. Step 3: Cross multiply
    2,705.83x = 4,057.51 × 2,620.78
  4. Step 4: Simplify right side
    2,705.83x = 10,633,841.06
  5. Step 5: Solve for x
    x = 10,633,841.06/2,705.83
  6. Step 6: Final answer
    x = 3,929.97

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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.