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Finding the Fourth Proportional to 3,074.99, 4,613.01 and 994.75

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Solution

The fourth proportional to 3,074.99, 4,613.01 and 994.75 is: 1,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.99 : 4,613.01 = 994.75 : x
  2. Step 2: Convert to fraction form
    3,074.99/4,613.01 = 994.75/x
  3. Step 3: Cross multiply
    3,074.99x = 4,613.01 × 994.75
  4. Step 4: Simplify right side
    3,074.99x = 4,588,791.70
  5. Step 5: Solve for x
    x = 4,588,791.70/3,074.99
  6. Step 6: Final answer
    x = 1,492.29

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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.