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Finding the Fourth Proportional to 1,930.38, 2,895.19 and 942.20

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Solution

The fourth proportional to 1,930.38, 2,895.19 and 942.20 is: 1,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.38 : 2,895.19 = 942.20 : x
  2. Step 2: Convert to fraction form
    1,930.38/2,895.19 = 942.20/x
  3. Step 3: Cross multiply
    1,930.38x = 2,895.19 × 942.20
  4. Step 4: Simplify right side
    1,930.38x = 2,727,848.02
  5. Step 5: Solve for x
    x = 2,727,848.02/1,930.38
  6. Step 6: Final answer
    x = 1,413.11

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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.