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Finding the Fourth Proportional to 2,706.36, 3,734.83 and 1,587.33

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Solution

The fourth proportional to 2,706.36, 3,734.83 and 1,587.33 is: 2,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.36 : 3,734.83 = 1,587.33 : x
  2. Step 2: Convert to fraction form
    2,706.36/3,734.83 = 1,587.33/x
  3. Step 3: Cross multiply
    2,706.36x = 3,734.83 × 1,587.33
  4. Step 4: Simplify right side
    2,706.36x = 5,928,400.76
  5. Step 5: Solve for x
    x = 5,928,400.76/2,706.36
  6. Step 6: Final answer
    x = 2,190.54

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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.