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Finding the Fourth Proportional to 2,706.33, 4,054.23 and 1,779.09

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Solution

The fourth proportional to 2,706.33, 4,054.23 and 1,779.09 is: 2,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.33 : 4,054.23 = 1,779.09 : x
  2. Step 2: Convert to fraction form
    2,706.33/4,054.23 = 1,779.09/x
  3. Step 3: Cross multiply
    2,706.33x = 4,054.23 × 1,779.09
  4. Step 4: Simplify right side
    2,706.33x = 7,212,840.05
  5. Step 5: Solve for x
    x = 7,212,840.05/2,706.33
  6. Step 6: Final answer
    x = 2,665.17

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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.