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Finding the Fourth Proportional to 3,074.54, 4,612.71 and 994.50

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Solution

The fourth proportional to 3,074.54, 4,612.71 and 994.50 is: 1,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.54 : 4,612.71 = 994.50 : x
  2. Step 2: Convert to fraction form
    3,074.54/4,612.71 = 994.50/x
  3. Step 3: Cross multiply
    3,074.54x = 4,612.71 × 994.50
  4. Step 4: Simplify right side
    3,074.54x = 4,587,340.10
  5. Step 5: Solve for x
    x = 4,587,340.10/3,074.54
  6. Step 6: Final answer
    x = 1,492.04

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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.