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Finding the Fourth Proportional to 2,969.06, 4,454.26 and 994.54

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Solution

The fourth proportional to 2,969.06, 4,454.26 and 994.54 is: 1,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.06 : 4,454.26 = 994.54 : x
  2. Step 2: Convert to fraction form
    2,969.06/4,454.26 = 994.54/x
  3. Step 3: Cross multiply
    2,969.06x = 4,454.26 × 994.54
  4. Step 4: Simplify right side
    2,969.06x = 4,429,939.74
  5. Step 5: Solve for x
    x = 4,429,939.74/2,969.06
  6. Step 6: Final answer
    x = 1,492.03

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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.