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Finding the Fourth Proportional to 1,726.40, 2,586.40 and 1,611.20

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Solution

The fourth proportional to 1,726.40, 2,586.40 and 1,611.20 is: 2,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.40 : 2,586.40 = 1,611.20 : x
  2. Step 2: Convert to fraction form
    1,726.40/2,586.40 = 1,611.20/x
  3. Step 3: Cross multiply
    1,726.40x = 2,586.40 × 1,611.20
  4. Step 4: Simplify right side
    1,726.40x = 4,167,207.68
  5. Step 5: Solve for x
    x = 4,167,207.68/1,726.40
  6. Step 6: Final answer
    x = 2,413.81

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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.