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Finding the Fourth Proportional to 2,461.26, 3,396.54 and 1,413.32

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Solution

The fourth proportional to 2,461.26, 3,396.54 and 1,413.32 is: 1,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.26 : 3,396.54 = 1,413.32 : x
  2. Step 2: Convert to fraction form
    2,461.26/3,396.54 = 1,413.32/x
  3. Step 3: Cross multiply
    2,461.26x = 3,396.54 × 1,413.32
  4. Step 4: Simplify right side
    2,461.26x = 4,800,397.91
  5. Step 5: Solve for x
    x = 4,800,397.91/2,461.26
  6. Step 6: Final answer
    x = 1,950.38

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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.