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Finding the Fourth Proportional to 2,050.31, 3,075.57 and 663.54

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Solution

The fourth proportional to 2,050.31, 3,075.57 and 663.54 is: 995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 3,075.57 = 663.54 : x
  2. Step 2: Convert to fraction form
    2,050.31/3,075.57 = 663.54/x
  3. Step 3: Cross multiply
    2,050.31x = 3,075.57 × 663.54
  4. Step 4: Simplify right side
    2,050.31x = 2,040,769.48
  5. Step 5: Solve for x
    x = 2,040,769.48/2,050.31
  6. Step 6: Final answer
    x = 995.35

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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.