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Finding the Fourth Proportional to 2,367.13, 3,266.67 and 1,319.19

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Solution

The fourth proportional to 2,367.13, 3,266.67 and 1,319.19 is: 1,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.13 : 3,266.67 = 1,319.19 : x
  2. Step 2: Convert to fraction form
    2,367.13/3,266.67 = 1,319.19/x
  3. Step 3: Cross multiply
    2,367.13x = 3,266.67 × 1,319.19
  4. Step 4: Simplify right side
    2,367.13x = 4,309,363.34
  5. Step 5: Solve for x
    x = 4,309,363.34/2,367.13
  6. Step 6: Final answer
    x = 1,820.50

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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.