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Finding the Fourth Proportional to 2,472.99, 3,413.04 and 1,622.96

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Solution

The fourth proportional to 2,472.99, 3,413.04 and 1,622.96 is: 2,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.99 : 3,413.04 = 1,622.96 : x
  2. Step 2: Convert to fraction form
    2,472.99/3,413.04 = 1,622.96/x
  3. Step 3: Cross multiply
    2,472.99x = 3,413.04 × 1,622.96
  4. Step 4: Simplify right side
    2,472.99x = 5,539,202.22
  5. Step 5: Solve for x
    x = 5,539,202.22/2,472.99
  6. Step 6: Final answer
    x = 2,239.89

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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.