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Finding the Fourth Proportional to 2,106.95, 3,158.97 and 936.33

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Solution

The fourth proportional to 2,106.95, 3,158.97 and 936.33 is: 1,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.95 : 3,158.97 = 936.33 : x
  2. Step 2: Convert to fraction form
    2,106.95/3,158.97 = 936.33/x
  3. Step 3: Cross multiply
    2,106.95x = 3,158.97 × 936.33
  4. Step 4: Simplify right side
    2,106.95x = 2,957,823.02
  5. Step 5: Solve for x
    x = 2,957,823.02/2,106.95
  6. Step 6: Final answer
    x = 1,403.84

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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.