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Finding the Fourth Proportional to 3,161.66, 4,742.47 and 1,187.21

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Solution

The fourth proportional to 3,161.66, 4,742.47 and 1,187.21 is: 1,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.66 : 4,742.47 = 1,187.21 : x
  2. Step 2: Convert to fraction form
    3,161.66/4,742.47 = 1,187.21/x
  3. Step 3: Cross multiply
    3,161.66x = 4,742.47 × 1,187.21
  4. Step 4: Simplify right side
    3,161.66x = 5,630,297.81
  5. Step 5: Solve for x
    x = 5,630,297.81/3,161.66
  6. Step 6: Final answer
    x = 1,780.81

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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.