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Finding the Fourth Proportional to 1,980.48, 2,972.43 and 811.11

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Solution

The fourth proportional to 1,980.48, 2,972.43 and 811.11 is: 1,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.48 : 2,972.43 = 811.11 : x
  2. Step 2: Convert to fraction form
    1,980.48/2,972.43 = 811.11/x
  3. Step 3: Cross multiply
    1,980.48x = 2,972.43 × 811.11
  4. Step 4: Simplify right side
    1,980.48x = 2,410,967.70
  5. Step 5: Solve for x
    x = 2,410,967.70/1,980.48
  6. Step 6: Final answer
    x = 1,217.37

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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.