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Finding the Fourth Proportional to 2,790.66, 4,185.42 and 843.18

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Solution

The fourth proportional to 2,790.66, 4,185.42 and 843.18 is: 1,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.66 : 4,185.42 = 843.18 : x
  2. Step 2: Convert to fraction form
    2,790.66/4,185.42 = 843.18/x
  3. Step 3: Cross multiply
    2,790.66x = 4,185.42 × 843.18
  4. Step 4: Simplify right side
    2,790.66x = 3,529,062.44
  5. Step 5: Solve for x
    x = 3,529,062.44/2,790.66
  6. Step 6: Final answer
    x = 1,264.60

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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.