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Finding the Fourth Proportional to 2,473.33, 3,413.19 and 1,354.33

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Solution

The fourth proportional to 2,473.33, 3,413.19 and 1,354.33 is: 1,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.33 : 3,413.19 = 1,354.33 : x
  2. Step 2: Convert to fraction form
    2,473.33/3,413.19 = 1,354.33/x
  3. Step 3: Cross multiply
    2,473.33x = 3,413.19 × 1,354.33
  4. Step 4: Simplify right side
    2,473.33x = 4,622,597.55
  5. Step 5: Solve for x
    x = 4,622,597.55/2,473.33
  6. Step 6: Final answer
    x = 1,868.98

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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.