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Finding the Fourth Proportional to 1,704.87, 2,557.35 and 1,274.76

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Solution

The fourth proportional to 1,704.87, 2,557.35 and 1,274.76 is: 1,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.87 : 2,557.35 = 1,274.76 : x
  2. Step 2: Convert to fraction form
    1,704.87/2,557.35 = 1,274.76/x
  3. Step 3: Cross multiply
    1,704.87x = 2,557.35 × 1,274.76
  4. Step 4: Simplify right side
    1,704.87x = 3,260,007.49
  5. Step 5: Solve for x
    x = 3,260,007.49/1,704.87
  6. Step 6: Final answer
    x = 1,912.17

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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.