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Finding the Fourth Proportional to 2,367.81, 3,267.72 and 1,319.94

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Solution

The fourth proportional to 2,367.81, 3,267.72 and 1,319.94 is: 1,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.81 : 3,267.72 = 1,319.94 : x
  2. Step 2: Convert to fraction form
    2,367.81/3,267.72 = 1,319.94/x
  3. Step 3: Cross multiply
    2,367.81x = 3,267.72 × 1,319.94
  4. Step 4: Simplify right side
    2,367.81x = 4,313,194.34
  5. Step 5: Solve for x
    x = 4,313,194.34/2,367.81
  6. Step 6: Final answer
    x = 1,821.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.