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Finding the Fourth Proportional to 2,684.41, 3,700.20 and 2,116.31

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Solution

The fourth proportional to 2,684.41, 3,700.20 and 2,116.31 is: 2,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.41 : 3,700.20 = 2,116.31 : x
  2. Step 2: Convert to fraction form
    2,684.41/3,700.20 = 2,116.31/x
  3. Step 3: Cross multiply
    2,684.41x = 3,700.20 × 2,116.31
  4. Step 4: Simplify right side
    2,684.41x = 7,830,759.68
  5. Step 5: Solve for x
    x = 7,830,759.68/2,684.41
  6. Step 6: Final answer
    x = 2,917.13

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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.