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Finding the Fourth Proportional to 2,453.39, 3,680.24 and 698.52

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Solution

The fourth proportional to 2,453.39, 3,680.24 and 698.52 is: 1,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.39 : 3,680.24 = 698.52 : x
  2. Step 2: Convert to fraction form
    2,453.39/3,680.24 = 698.52/x
  3. Step 3: Cross multiply
    2,453.39x = 3,680.24 × 698.52
  4. Step 4: Simplify right side
    2,453.39x = 2,570,717.75
  5. Step 5: Solve for x
    x = 2,570,717.75/2,453.39
  6. Step 6: Final answer
    x = 1,047.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.