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Finding the Fourth Proportional to 3,413.82, 4,711.20 and 1,922.01

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Solution

The fourth proportional to 3,413.82, 4,711.20 and 1,922.01 is: 2,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.82 : 4,711.20 = 1,922.01 : x
  2. Step 2: Convert to fraction form
    3,413.82/4,711.20 = 1,922.01/x
  3. Step 3: Cross multiply
    3,413.82x = 4,711.20 × 1,922.01
  4. Step 4: Simplify right side
    3,413.82x = 9,054,973.51
  5. Step 5: Solve for x
    x = 9,054,973.51/3,413.82
  6. Step 6: Final answer
    x = 2,652.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.