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Finding the Fourth Proportional to 2,705.83, 4,053.48 and 1,778.59

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Solution

The fourth proportional to 2,705.83, 4,053.48 and 1,778.59 is: 2,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.83 : 4,053.48 = 1,778.59 : x
  2. Step 2: Convert to fraction form
    2,705.83/4,053.48 = 1,778.59/x
  3. Step 3: Cross multiply
    2,705.83x = 4,053.48 × 1,778.59
  4. Step 4: Simplify right side
    2,705.83x = 7,209,458.73
  5. Step 5: Solve for x
    x = 7,209,458.73/2,705.83
  6. Step 6: Final answer
    x = 2,664.42

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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.