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Finding the Fourth Proportional to 2,941.77, 4,413.36 and 993.99

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Solution

The fourth proportional to 2,941.77, 4,413.36 and 993.99 is: 1,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.77 : 4,413.36 = 993.99 : x
  2. Step 2: Convert to fraction form
    2,941.77/4,413.36 = 993.99/x
  3. Step 3: Cross multiply
    2,941.77x = 4,413.36 × 993.99
  4. Step 4: Simplify right side
    2,941.77x = 4,386,835.71
  5. Step 5: Solve for x
    x = 4,386,835.71/2,941.77
  6. Step 6: Final answer
    x = 1,491.22

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1.5x scale

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.