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Finding the Fourth Proportional to 2,683.98, 3,705.62 and 2,187.81

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Solution

The fourth proportional to 2,683.98, 3,705.62 and 2,187.81 is: 3,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.98 : 3,705.62 = 2,187.81 : x
  2. Step 2: Convert to fraction form
    2,683.98/3,705.62 = 2,187.81/x
  3. Step 3: Cross multiply
    2,683.98x = 3,705.62 × 2,187.81
  4. Step 4: Simplify right side
    2,683.98x = 8,107,181.55
  5. Step 5: Solve for x
    x = 8,107,181.55/2,683.98
  6. Step 6: Final answer
    x = 3,020.58

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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.