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Finding the Fourth Proportional to 1,608.71, 2,413.47 and 951.13

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Solution

The fourth proportional to 1,608.71, 2,413.47 and 951.13 is: 1,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.71 : 2,413.47 = 951.13 : x
  2. Step 2: Convert to fraction form
    1,608.71/2,413.47 = 951.13/x
  3. Step 3: Cross multiply
    1,608.71x = 2,413.47 × 951.13
  4. Step 4: Simplify right side
    1,608.71x = 2,295,523.72
  5. Step 5: Solve for x
    x = 2,295,523.72/1,608.71
  6. Step 6: Final answer
    x = 1,426.93

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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.