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Finding the Fourth Proportional to 2,319.93, 3,194.94 and 2,112.33

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Solution

The fourth proportional to 2,319.93, 3,194.94 and 2,112.33 is: 2,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.93 : 3,194.94 = 2,112.33 : x
  2. Step 2: Convert to fraction form
    2,319.93/3,194.94 = 2,112.33/x
  3. Step 3: Cross multiply
    2,319.93x = 3,194.94 × 2,112.33
  4. Step 4: Simplify right side
    2,319.93x = 6,748,767.61
  5. Step 5: Solve for x
    x = 6,748,767.61/2,319.93
  6. Step 6: Final answer
    x = 2,909.04

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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.