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Finding the Fourth Proportional to 2,367.06, 3,266.43 and 1,319.10

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Solution

The fourth proportional to 2,367.06, 3,266.43 and 1,319.10 is: 1,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.06 : 3,266.43 = 1,319.10 : x
  2. Step 2: Convert to fraction form
    2,367.06/3,266.43 = 1,319.10/x
  3. Step 3: Cross multiply
    2,367.06x = 3,266.43 × 1,319.10
  4. Step 4: Simplify right side
    2,367.06x = 4,308,747.81
  5. Step 5: Solve for x
    x = 4,308,747.81/2,367.06
  6. Step 6: Final answer
    x = 1,820.30

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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.