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Finding the Fourth Proportional to 2,941.68, 4,413.15 and 993.86

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Solution

The fourth proportional to 2,941.68, 4,413.15 and 993.86 is: 1,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.68 : 4,413.15 = 993.86 : x
  2. Step 2: Convert to fraction form
    2,941.68/4,413.15 = 993.86/x
  3. Step 3: Cross multiply
    2,941.68x = 4,413.15 × 993.86
  4. Step 4: Simplify right side
    2,941.68x = 4,386,053.26
  5. Step 5: Solve for x
    x = 4,386,053.26/2,941.68
  6. Step 6: Final answer
    x = 1,491.00

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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.