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Finding the Fourth Proportional to 1,962.80, 2,940.30 and 1,183

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Solution

The fourth proportional to 1,962.80, 2,940.30 and 1,183 is: 1,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.80 : 2,940.30 = 1,183 : x
  2. Step 2: Convert to fraction form
    1,962.80/2,940.30 = 1,183/x
  3. Step 3: Cross multiply
    1,962.80x = 2,940.30 × 1,183
  4. Step 4: Simplify right side
    1,962.80x = 3,478,368.99
  5. Step 5: Solve for x
    x = 3,478,368.99/1,962.80
  6. Step 6: Final answer
    x = 1,772.15

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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.