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Finding the Fourth Proportional to 2,941.91, 4,413.40 and 967.64

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Solution

The fourth proportional to 2,941.91, 4,413.40 and 967.64 is: 1,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.91 : 4,413.40 = 967.64 : x
  2. Step 2: Convert to fraction form
    2,941.91/4,413.40 = 967.64/x
  3. Step 3: Cross multiply
    2,941.91x = 4,413.40 × 967.64
  4. Step 4: Simplify right side
    2,941.91x = 4,270,602.55
  5. Step 5: Solve for x
    x = 4,270,602.55/2,941.91
  6. Step 6: Final answer
    x = 1,451.64

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