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Finding the Fourth Proportional to 3,161.10, 4,741.65 and 969.87

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Solution

The fourth proportional to 3,161.10, 4,741.65 and 969.87 is: 1,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.10 : 4,741.65 = 969.87 : x
  2. Step 2: Convert to fraction form
    3,161.10/4,741.65 = 969.87/x
  3. Step 3: Cross multiply
    3,161.10x = 4,741.65 × 969.87
  4. Step 4: Simplify right side
    3,161.10x = 4,598,784.09
  5. Step 5: Solve for x
    x = 4,598,784.09/3,161.10
  6. Step 6: Final answer
    x = 1,454.81

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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.