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Finding the Fourth Proportional to 2,766.08, 4,148.80 and 942.08

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Solution

The fourth proportional to 2,766.08, 4,148.80 and 942.08 is: 1,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.08 : 4,148.80 = 942.08 : x
  2. Step 2: Convert to fraction form
    2,766.08/4,148.80 = 942.08/x
  3. Step 3: Cross multiply
    2,766.08x = 4,148.80 × 942.08
  4. Step 4: Simplify right side
    2,766.08x = 3,908,501.50
  5. Step 5: Solve for x
    x = 3,908,501.50/2,766.08
  6. Step 6: Final answer
    x = 1,413.01

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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.