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Finding the Fourth Proportional to 2,683.84, 4,040.62 and 2,101.96

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Solution

The fourth proportional to 2,683.84, 4,040.62 and 2,101.96 is: 3,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.84 : 4,040.62 = 2,101.96 : x
  2. Step 2: Convert to fraction form
    2,683.84/4,040.62 = 2,101.96/x
  3. Step 3: Cross multiply
    2,683.84x = 4,040.62 × 2,101.96
  4. Step 4: Simplify right side
    2,683.84x = 8,493,221.62
  5. Step 5: Solve for x
    x = 8,493,221.62/2,683.84
  6. Step 6: Final answer
    x = 3,164.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.