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Finding the Fourth Proportional to 1,611.83, 2,413.40 and 840.71

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Solution

The fourth proportional to 1,611.83, 2,413.40 and 840.71 is: 1,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.83 : 2,413.40 = 840.71 : x
  2. Step 2: Convert to fraction form
    1,611.83/2,413.40 = 840.71/x
  3. Step 3: Cross multiply
    1,611.83x = 2,413.40 × 840.71
  4. Step 4: Simplify right side
    1,611.83x = 2,028,953.24
  5. Step 5: Solve for x
    x = 2,028,953.24/1,611.83
  6. Step 6: Final answer
    x = 1,258.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.