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Finding the Fourth Proportional to 2,413.05, 3,617.74 and 951.40

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Solution

The fourth proportional to 2,413.05, 3,617.74 and 951.40 is: 1,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.05 : 3,617.74 = 951.40 : x
  2. Step 2: Convert to fraction form
    2,413.05/3,617.74 = 951.40/x
  3. Step 3: Cross multiply
    2,413.05x = 3,617.74 × 951.40
  4. Step 4: Simplify right side
    2,413.05x = 3,441,917.84
  5. Step 5: Solve for x
    x = 3,441,917.84/2,413.05
  6. Step 6: Final answer
    x = 1,426.38

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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.