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Finding the Fourth Proportional to 1,706.44, 2,546.35 and 1,522.57

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Solution

The fourth proportional to 1,706.44, 2,546.35 and 1,522.57 is: 2,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.44 : 2,546.35 = 1,522.57 : x
  2. Step 2: Convert to fraction form
    1,706.44/2,546.35 = 1,522.57/x
  3. Step 3: Cross multiply
    1,706.44x = 2,546.35 × 1,522.57
  4. Step 4: Simplify right side
    1,706.44x = 3,876,975.77
  5. Step 5: Solve for x
    x = 3,876,975.77/1,706.44
  6. Step 6: Final answer
    x = 2,271.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.