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Finding the Fourth Proportional to 2,074.96, 3,112.12 and 1,208.40

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Solution

The fourth proportional to 2,074.96, 3,112.12 and 1,208.40 is: 1,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.96 : 3,112.12 = 1,208.40 : x
  2. Step 2: Convert to fraction form
    2,074.96/3,112.12 = 1,208.40/x
  3. Step 3: Cross multiply
    2,074.96x = 3,112.12 × 1,208.40
  4. Step 4: Simplify right side
    2,074.96x = 3,760,685.81
  5. Step 5: Solve for x
    x = 3,760,685.81/2,074.96
  6. Step 6: Final answer
    x = 1,812.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.