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Finding the Fourth Proportional to 3,416.94, 5,121.24 and 1,853.24

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Solution

The fourth proportional to 3,416.94, 5,121.24 and 1,853.24 is: 2,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.94 : 5,121.24 = 1,853.24 : x
  2. Step 2: Convert to fraction form
    3,416.94/5,121.24 = 1,853.24/x
  3. Step 3: Cross multiply
    3,416.94x = 5,121.24 × 1,853.24
  4. Step 4: Simplify right side
    3,416.94x = 9,490,861.21
  5. Step 5: Solve for x
    x = 9,490,861.21/3,416.94
  6. Step 6: Final answer
    x = 2,777.59

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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.