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Finding the Fourth Proportional to 2,790.84, 4,187.24 and 942.16

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Solution

The fourth proportional to 2,790.84, 4,187.24 and 942.16 is: 1,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.84 : 4,187.24 = 942.16 : x
  2. Step 2: Convert to fraction form
    2,790.84/4,187.24 = 942.16/x
  3. Step 3: Cross multiply
    2,790.84x = 4,187.24 × 942.16
  4. Step 4: Simplify right side
    2,790.84x = 3,945,050.04
  5. Step 5: Solve for x
    x = 3,945,050.04/2,790.84
  6. Step 6: Final answer
    x = 1,413.57

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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.