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Finding the Fourth Proportional to 3,185.61, 4,776.86 and 994.33

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Solution

The fourth proportional to 3,185.61, 4,776.86 and 994.33 is: 1,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.61 : 4,776.86 = 994.33 : x
  2. Step 2: Convert to fraction form
    3,185.61/4,776.86 = 994.33/x
  3. Step 3: Cross multiply
    3,185.61x = 4,776.86 × 994.33
  4. Step 4: Simplify right side
    3,185.61x = 4,749,770.23
  5. Step 5: Solve for x
    x = 4,749,770.23/3,185.61
  6. Step 6: Final answer
    x = 1,491.01

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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.