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Finding the Fourth Proportional to 2,941.90, 4,413.11 and 861.90

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Solution

The fourth proportional to 2,941.90, 4,413.11 and 861.90 is: 1,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.90 : 4,413.11 = 861.90 : x
  2. Step 2: Convert to fraction form
    2,941.90/4,413.11 = 861.90/x
  3. Step 3: Cross multiply
    2,941.90x = 4,413.11 × 861.90
  4. Step 4: Simplify right side
    2,941.90x = 3,803,659.51
  5. Step 5: Solve for x
    x = 3,803,659.51/2,941.90
  6. Step 6: Final answer
    x = 1,292.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.