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Finding the Fourth Proportional to 1,709.62, 2,562.30 and 734.59

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Solution

The fourth proportional to 1,709.62, 2,562.30 and 734.59 is: 1,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.62 : 2,562.30 = 734.59 : x
  2. Step 2: Convert to fraction form
    1,709.62/2,562.30 = 734.59/x
  3. Step 3: Cross multiply
    1,709.62x = 2,562.30 × 734.59
  4. Step 4: Simplify right side
    1,709.62x = 1,882,239.96
  5. Step 5: Solve for x
    x = 1,882,239.96/1,709.62
  6. Step 6: Final answer
    x = 1,100.97

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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.