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Finding the Fourth Proportional to 2,191.41, 3,285.16 and 804.43

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Solution

The fourth proportional to 2,191.41, 3,285.16 and 804.43 is: 1,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.41 : 3,285.16 = 804.43 : x
  2. Step 2: Convert to fraction form
    2,191.41/3,285.16 = 804.43/x
  3. Step 3: Cross multiply
    2,191.41x = 3,285.16 × 804.43
  4. Step 4: Simplify right side
    2,191.41x = 2,642,674.05
  5. Step 5: Solve for x
    x = 2,642,674.05/2,191.41
  6. Step 6: Final answer
    x = 1,205.92

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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.