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Finding the Fourth Proportional to 2,685.96, 3,706.74 and 1,567.26

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Solution

The fourth proportional to 2,685.96, 3,706.74 and 1,567.26 is: 2,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.96 : 3,706.74 = 1,567.26 : x
  2. Step 2: Convert to fraction form
    2,685.96/3,706.74 = 1,567.26/x
  3. Step 3: Cross multiply
    2,685.96x = 3,706.74 × 1,567.26
  4. Step 4: Simplify right side
    2,685.96x = 5,809,425.33
  5. Step 5: Solve for x
    x = 5,809,425.33/2,685.96
  6. Step 6: Final answer
    x = 2,162.89

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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.