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Finding the Fourth Proportional to 1,659.44, 2,475.94 and 1,413.20

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Solution

The fourth proportional to 1,659.44, 2,475.94 and 1,413.20 is: 2,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.44 : 2,475.94 = 1,413.20 : x
  2. Step 2: Convert to fraction form
    1,659.44/2,475.94 = 1,413.20/x
  3. Step 3: Cross multiply
    1,659.44x = 2,475.94 × 1,413.20
  4. Step 4: Simplify right side
    1,659.44x = 3,498,998.41
  5. Step 5: Solve for x
    x = 3,498,998.41/1,659.44
  6. Step 6: Final answer
    x = 2,108.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.