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Finding the Fourth Proportional to 1,608.48, 2,413.80 and 742.86

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Solution

The fourth proportional to 1,608.48, 2,413.80 and 742.86 is: 1,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.48 : 2,413.80 = 742.86 : x
  2. Step 2: Convert to fraction form
    1,608.48/2,413.80 = 742.86/x
  3. Step 3: Cross multiply
    1,608.48x = 2,413.80 × 742.86
  4. Step 4: Simplify right side
    1,608.48x = 1,793,115.47
  5. Step 5: Solve for x
    x = 1,793,115.47/1,608.48
  6. Step 6: Final answer
    x = 1,114.79

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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.