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Finding the Fourth Proportional to 3,074.68, 4,612.04 and 994.67

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Solution

The fourth proportional to 3,074.68, 4,612.04 and 994.67 is: 1,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.68 : 4,612.04 = 994.67 : x
  2. Step 2: Convert to fraction form
    3,074.68/4,612.04 = 994.67/x
  3. Step 3: Cross multiply
    3,074.68x = 4,612.04 × 994.67
  4. Step 4: Simplify right side
    3,074.68x = 4,587,464.38
  5. Step 5: Solve for x
    x = 4,587,464.38/3,074.68
  6. Step 6: Final answer
    x = 1,492.01

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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.