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Finding the Fourth Proportional to 2,049.82, 3,075.82 and 953.90

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Solution

The fourth proportional to 2,049.82, 3,075.82 and 953.90 is: 1,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.82 : 3,075.82 = 953.90 : x
  2. Step 2: Convert to fraction form
    2,049.82/3,075.82 = 953.90/x
  3. Step 3: Cross multiply
    2,049.82x = 3,075.82 × 953.90
  4. Step 4: Simplify right side
    2,049.82x = 2,934,024.70
  5. Step 5: Solve for x
    x = 2,934,024.70/2,049.82
  6. Step 6: Final answer
    x = 1,431.36

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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.