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Finding the Fourth Proportional to 3,311.42, 4,965.79 and 1,461.23

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Solution

The fourth proportional to 3,311.42, 4,965.79 and 1,461.23 is: 2,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.42 : 4,965.79 = 1,461.23 : x
  2. Step 2: Convert to fraction form
    3,311.42/4,965.79 = 1,461.23/x
  3. Step 3: Cross multiply
    3,311.42x = 4,965.79 × 1,461.23
  4. Step 4: Simplify right side
    3,311.42x = 7,256,161.32
  5. Step 5: Solve for x
    x = 7,256,161.32/3,311.42
  6. Step 6: Final answer
    x = 2,191.25

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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.