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Finding the Fourth Proportional to 3,081.14, 4,621.68 and 772.64

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Solution

The fourth proportional to 3,081.14, 4,621.68 and 772.64 is: 1,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.14 : 4,621.68 = 772.64 : x
  2. Step 2: Convert to fraction form
    3,081.14/4,621.68 = 772.64/x
  3. Step 3: Cross multiply
    3,081.14x = 4,621.68 × 772.64
  4. Step 4: Simplify right side
    3,081.14x = 3,570,894.84
  5. Step 5: Solve for x
    x = 3,570,894.84/3,081.14
  6. Step 6: Final answer
    x = 1,158.95

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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.