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Finding the Fourth Proportional to 2,941.90, 4,413.53 and 994.10

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Solution

The fourth proportional to 2,941.90, 4,413.53 and 994.10 is: 1,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.90 : 4,413.53 = 994.10 : x
  2. Step 2: Convert to fraction form
    2,941.90/4,413.53 = 994.10/x
  3. Step 3: Cross multiply
    2,941.90x = 4,413.53 × 994.10
  4. Step 4: Simplify right side
    2,941.90x = 4,387,503.69
  5. Step 5: Solve for x
    x = 4,387,503.69/2,941.90
  6. Step 6: Final answer
    x = 1,491.39

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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.