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Finding the Fourth Proportional to 2,734.68, 4,104.66 and 1,274.84

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Solution

The fourth proportional to 2,734.68, 4,104.66 and 1,274.84 is: 1,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.68 : 4,104.66 = 1,274.84 : x
  2. Step 2: Convert to fraction form
    2,734.68/4,104.66 = 1,274.84/x
  3. Step 3: Cross multiply
    2,734.68x = 4,104.66 × 1,274.84
  4. Step 4: Simplify right side
    2,734.68x = 5,232,784.75
  5. Step 5: Solve for x
    x = 5,232,784.75/2,734.68
  6. Step 6: Final answer
    x = 1,913.49

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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.