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Finding the Fourth Proportional to 2,461.73, 3,397.14 and 1,413.72

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Solution

The fourth proportional to 2,461.73, 3,397.14 and 1,413.72 is: 1,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.73 : 3,397.14 = 1,413.72 : x
  2. Step 2: Convert to fraction form
    2,461.73/3,397.14 = 1,413.72/x
  3. Step 3: Cross multiply
    2,461.73x = 3,397.14 × 1,413.72
  4. Step 4: Simplify right side
    2,461.73x = 4,802,604.76
  5. Step 5: Solve for x
    x = 4,802,604.76/2,461.73
  6. Step 6: Final answer
    x = 1,950.91

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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.