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Finding the Fourth Proportional to 2,274.83, 3,405.70 and 1,334.93

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Solution

The fourth proportional to 2,274.83, 3,405.70 and 1,334.93 is: 1,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.83 : 3,405.70 = 1,334.93 : x
  2. Step 2: Convert to fraction form
    2,274.83/3,405.70 = 1,334.93/x
  3. Step 3: Cross multiply
    2,274.83x = 3,405.70 × 1,334.93
  4. Step 4: Simplify right side
    2,274.83x = 4,546,367.39
  5. Step 5: Solve for x
    x = 4,546,367.39/2,274.83
  6. Step 6: Final answer
    x = 1,998.55

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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.