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Finding the Fourth Proportional to 3,185.89, 4,776.11 and 1,210.41

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Solution

The fourth proportional to 3,185.89, 4,776.11 and 1,210.41 is: 1,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.89 : 4,776.11 = 1,210.41 : x
  2. Step 2: Convert to fraction form
    3,185.89/4,776.11 = 1,210.41/x
  3. Step 3: Cross multiply
    3,185.89x = 4,776.11 × 1,210.41
  4. Step 4: Simplify right side
    3,185.89x = 5,781,049.79
  5. Step 5: Solve for x
    x = 5,781,049.79/3,185.89
  6. Step 6: Final answer
    x = 1,814.58

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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.