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Finding the Fourth Proportional to 2,683, 3,703.98 and 2,092.12

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Solution

The fourth proportional to 2,683, 3,703.98 and 2,092.12 is: 2,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683 : 3,703.98 = 2,092.12 : x
  2. Step 2: Convert to fraction form
    2,683/3,703.98 = 2,092.12/x
  3. Step 3: Cross multiply
    2,683x = 3,703.98 × 2,092.12
  4. Step 4: Simplify right side
    2,683x = 7,749,170.64
  5. Step 5: Solve for x
    x = 7,749,170.64/2,683
  6. Step 6: Final answer
    x = 2,888.25

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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.