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Finding the Fourth Proportional to 2,314.70, 3,193.49 and 1,319.26

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Solution

The fourth proportional to 2,314.70, 3,193.49 and 1,319.26 is: 1,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.70 : 3,193.49 = 1,319.26 : x
  2. Step 2: Convert to fraction form
    2,314.70/3,193.49 = 1,319.26/x
  3. Step 3: Cross multiply
    2,314.70x = 3,193.49 × 1,319.26
  4. Step 4: Simplify right side
    2,314.70x = 4,213,046.92
  5. Step 5: Solve for x
    x = 4,213,046.92/2,314.70
  6. Step 6: Final answer
    x = 1,820.12

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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.