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Finding the Fourth Proportional to 2,680.55, 3,698.57 and 1,618.49

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Solution

The fourth proportional to 2,680.55, 3,698.57 and 1,618.49 is: 2,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.55 : 3,698.57 = 1,618.49 : x
  2. Step 2: Convert to fraction form
    2,680.55/3,698.57 = 1,618.49/x
  3. Step 3: Cross multiply
    2,680.55x = 3,698.57 × 1,618.49
  4. Step 4: Simplify right side
    2,680.55x = 5,986,099.71
  5. Step 5: Solve for x
    x = 5,986,099.71/2,680.55
  6. Step 6: Final answer
    x = 2,233.16

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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.