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Finding the Fourth Proportional to 1,706.96, 2,561.52 and 734.42

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Solution

The fourth proportional to 1,706.96, 2,561.52 and 734.42 is: 1,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.96 : 2,561.52 = 734.42 : x
  2. Step 2: Convert to fraction form
    1,706.96/2,561.52 = 734.42/x
  3. Step 3: Cross multiply
    1,706.96x = 2,561.52 × 734.42
  4. Step 4: Simplify right side
    1,706.96x = 1,881,231.52
  5. Step 5: Solve for x
    x = 1,881,231.52/1,706.96
  6. Step 6: Final answer
    x = 1,102.09

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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.