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Finding the Fourth Proportional to 1,782.26, 2,667.56 and 1,611.74

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Solution

The fourth proportional to 1,782.26, 2,667.56 and 1,611.74 is: 2,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.26 : 2,667.56 = 1,611.74 : x
  2. Step 2: Convert to fraction form
    1,782.26/2,667.56 = 1,611.74/x
  3. Step 3: Cross multiply
    1,782.26x = 2,667.56 × 1,611.74
  4. Step 4: Simplify right side
    1,782.26x = 4,299,391.76
  5. Step 5: Solve for x
    x = 4,299,391.76/1,782.26
  6. Step 6: Final answer
    x = 2,412.33

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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.