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Finding the Fourth Proportional to 2,459.82, 3,689.36 and 816.38

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Solution

The fourth proportional to 2,459.82, 3,689.36 and 816.38 is: 1,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.82 : 3,689.36 = 816.38 : x
  2. Step 2: Convert to fraction form
    2,459.82/3,689.36 = 816.38/x
  3. Step 3: Cross multiply
    2,459.82x = 3,689.36 × 816.38
  4. Step 4: Simplify right side
    2,459.82x = 3,011,919.72
  5. Step 5: Solve for x
    x = 3,011,919.72/2,459.82
  6. Step 6: Final answer
    x = 1,224.45

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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.