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Finding the Fourth Proportional to 1,977.99, 2,968.22 and 1,101.16

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Solution

The fourth proportional to 1,977.99, 2,968.22 and 1,101.16 is: 1,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.99 : 2,968.22 = 1,101.16 : x
  2. Step 2: Convert to fraction form
    1,977.99/2,968.22 = 1,101.16/x
  3. Step 3: Cross multiply
    1,977.99x = 2,968.22 × 1,101.16
  4. Step 4: Simplify right side
    1,977.99x = 3,268,485.14
  5. Step 5: Solve for x
    x = 3,268,485.14/1,977.99
  6. Step 6: Final answer
    x = 1,652.43

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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.