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Finding the Fourth Proportional to 2,453.82, 3,681.34 and 722.45

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Solution

The fourth proportional to 2,453.82, 3,681.34 and 722.45 is: 1,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.82 : 3,681.34 = 722.45 : x
  2. Step 2: Convert to fraction form
    2,453.82/3,681.34 = 722.45/x
  3. Step 3: Cross multiply
    2,453.82x = 3,681.34 × 722.45
  4. Step 4: Simplify right side
    2,453.82x = 2,659,584.08
  5. Step 5: Solve for x
    x = 2,659,584.08/2,453.82
  6. Step 6: Final answer
    x = 1,083.85

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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.