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Finding the Fourth Proportional to 2,942.32, 4,413.84 and 995.92

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Solution

The fourth proportional to 2,942.32, 4,413.84 and 995.92 is: 1,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.32 : 4,413.84 = 995.92 : x
  2. Step 2: Convert to fraction form
    2,942.32/4,413.84 = 995.92/x
  3. Step 3: Cross multiply
    2,942.32x = 4,413.84 × 995.92
  4. Step 4: Simplify right side
    2,942.32x = 4,395,831.53
  5. Step 5: Solve for x
    x = 4,395,831.53/2,942.32
  6. Step 6: Final answer
    x = 1,494.00

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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.