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Finding the Fourth Proportional to 2,473.28, 3,413.20 and 1,354.24

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Solution

The fourth proportional to 2,473.28, 3,413.20 and 1,354.24 is: 1,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.28 : 3,413.20 = 1,354.24 : x
  2. Step 2: Convert to fraction form
    2,473.28/3,413.20 = 1,354.24/x
  3. Step 3: Cross multiply
    2,473.28x = 3,413.20 × 1,354.24
  4. Step 4: Simplify right side
    2,473.28x = 4,622,291.97
  5. Step 5: Solve for x
    x = 4,622,291.97/2,473.28
  6. Step 6: Final answer
    x = 1,868.89

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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.