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Finding the Fourth Proportional to 1,977.23, 2,965.82 and 806.98

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Solution

The fourth proportional to 1,977.23, 2,965.82 and 806.98 is: 1,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.23 : 2,965.82 = 806.98 : x
  2. Step 2: Convert to fraction form
    1,977.23/2,965.82 = 806.98/x
  3. Step 3: Cross multiply
    1,977.23x = 2,965.82 × 806.98
  4. Step 4: Simplify right side
    1,977.23x = 2,393,352.03
  5. Step 5: Solve for x
    x = 2,393,352.03/1,977.23
  6. Step 6: Final answer
    x = 1,210.46

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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.