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Finding the Fourth Proportional to 1,639.08, 2,459.63 and 665.19

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Solution

The fourth proportional to 1,639.08, 2,459.63 and 665.19 is: 998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.08 : 2,459.63 = 665.19 : x
  2. Step 2: Convert to fraction form
    1,639.08/2,459.63 = 665.19/x
  3. Step 3: Cross multiply
    1,639.08x = 2,459.63 × 665.19
  4. Step 4: Simplify right side
    1,639.08x = 1,636,121.28
  5. Step 5: Solve for x
    x = 1,636,121.28/1,639.08
  6. Step 6: Final answer
    x = 998.19

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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.