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Finding the Fourth Proportional to 2,050.31, 3,075.86 and 663.99

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Solution

The fourth proportional to 2,050.31, 3,075.86 and 663.99 is: 996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 3,075.86 = 663.99 : x
  2. Step 2: Convert to fraction form
    2,050.31/3,075.86 = 663.99/x
  3. Step 3: Cross multiply
    2,050.31x = 3,075.86 × 663.99
  4. Step 4: Simplify right side
    2,050.31x = 2,042,321.58
  5. Step 5: Solve for x
    x = 2,042,321.58/2,050.31
  6. Step 6: Final answer
    x = 996.11

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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.