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Finding the Fourth Proportional to 2,684.21, 3,699.94 and 2,116.13

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Solution

The fourth proportional to 2,684.21, 3,699.94 and 2,116.13 is: 2,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.21 : 3,699.94 = 2,116.13 : x
  2. Step 2: Convert to fraction form
    2,684.21/3,699.94 = 2,116.13/x
  3. Step 3: Cross multiply
    2,684.21x = 3,699.94 × 2,116.13
  4. Step 4: Simplify right side
    2,684.21x = 7,829,530.24
  5. Step 5: Solve for x
    x = 7,829,530.24/2,684.21
  6. Step 6: Final answer
    x = 2,916.88

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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.