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Finding the Fourth Proportional to 2,942.48, 4,413.58 and 994.70

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Solution

The fourth proportional to 2,942.48, 4,413.58 and 994.70 is: 1,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.48 : 4,413.58 = 994.70 : x
  2. Step 2: Convert to fraction form
    2,942.48/4,413.58 = 994.70/x
  3. Step 3: Cross multiply
    2,942.48x = 4,413.58 × 994.70
  4. Step 4: Simplify right side
    2,942.48x = 4,390,160.98
  5. Step 5: Solve for x
    x = 4,390,160.98/2,942.48
  6. Step 6: Final answer
    x = 1,492.00

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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.