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Finding the Fourth Proportional to 2,680.94, 3,699.51 and 1,502.12

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Solution

The fourth proportional to 2,680.94, 3,699.51 and 1,502.12 is: 2,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.94 : 3,699.51 = 1,502.12 : x
  2. Step 2: Convert to fraction form
    2,680.94/3,699.51 = 1,502.12/x
  3. Step 3: Cross multiply
    2,680.94x = 3,699.51 × 1,502.12
  4. Step 4: Simplify right side
    2,680.94x = 5,557,107.96
  5. Step 5: Solve for x
    x = 5,557,107.96/2,680.94
  6. Step 6: Final answer
    x = 2,072.82

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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.