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Finding the Fourth Proportional to 1,236.66, 1,853.16 and 1,167.40

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Solution

The fourth proportional to 1,236.66, 1,853.16 and 1,167.40 is: 1,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.66 : 1,853.16 = 1,167.40 : x
  2. Step 2: Convert to fraction form
    1,236.66/1,853.16 = 1,167.40/x
  3. Step 3: Cross multiply
    1,236.66x = 1,853.16 × 1,167.40
  4. Step 4: Simplify right side
    1,236.66x = 2,163,378.98
  5. Step 5: Solve for x
    x = 2,163,378.98/1,236.66
  6. Step 6: Final answer
    x = 1,749.37

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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.