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Finding the Fourth Proportional to 2,050.61, 3,075.24 and 663.65

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Solution

The fourth proportional to 2,050.61, 3,075.24 and 663.65 is: 995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.61 : 3,075.24 = 663.65 : x
  2. Step 2: Convert to fraction form
    2,050.61/3,075.24 = 663.65/x
  3. Step 3: Cross multiply
    2,050.61x = 3,075.24 × 663.65
  4. Step 4: Simplify right side
    2,050.61x = 2,040,867.65
  5. Step 5: Solve for x
    x = 2,040,867.65/2,050.61
  6. Step 6: Final answer
    x = 995.25

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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.