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Finding the Fourth Proportional to 1,639.35, 2,459.30 and 817.47

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Solution

The fourth proportional to 1,639.35, 2,459.30 and 817.47 is: 1,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.35 : 2,459.30 = 817.47 : x
  2. Step 2: Convert to fraction form
    1,639.35/2,459.30 = 817.47/x
  3. Step 3: Cross multiply
    1,639.35x = 2,459.30 × 817.47
  4. Step 4: Simplify right side
    1,639.35x = 2,010,399.88
  5. Step 5: Solve for x
    x = 2,010,399.88/1,639.35
  6. Step 6: Final answer
    x = 1,226.34

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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.