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Finding the Fourth Proportional to 2,980.96, 4,471.49 and 1,033.22

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Solution

The fourth proportional to 2,980.96, 4,471.49 and 1,033.22 is: 1,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.96 : 4,471.49 = 1,033.22 : x
  2. Step 2: Convert to fraction form
    2,980.96/4,471.49 = 1,033.22/x
  3. Step 3: Cross multiply
    2,980.96x = 4,471.49 × 1,033.22
  4. Step 4: Simplify right side
    2,980.96x = 4,620,032.90
  5. Step 5: Solve for x
    x = 4,620,032.90/2,980.96
  6. Step 6: Final answer
    x = 1,549.85

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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.