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Finding the Fourth Proportional to 1,639.80, 2,459.70 and 990.20

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Solution

The fourth proportional to 1,639.80, 2,459.70 and 990.20 is: 1,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.80 : 2,459.70 = 990.20 : x
  2. Step 2: Convert to fraction form
    1,639.80/2,459.70 = 990.20/x
  3. Step 3: Cross multiply
    1,639.80x = 2,459.70 × 990.20
  4. Step 4: Simplify right side
    1,639.80x = 2,435,594.94
  5. Step 5: Solve for x
    x = 2,435,594.94/1,639.80
  6. Step 6: Final answer
    x = 1,485.30

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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.