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Finding the Fourth Proportional to 2,680.26, 3,698.12 and 1,560.51

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Solution

The fourth proportional to 2,680.26, 3,698.12 and 1,560.51 is: 2,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.26 : 3,698.12 = 1,560.51 : x
  2. Step 2: Convert to fraction form
    2,680.26/3,698.12 = 1,560.51/x
  3. Step 3: Cross multiply
    2,680.26x = 3,698.12 × 1,560.51
  4. Step 4: Simplify right side
    2,680.26x = 5,770,945.44
  5. Step 5: Solve for x
    x = 5,770,945.44/2,680.26
  6. Step 6: Final answer
    x = 2,153.13

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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.