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Finding the Fourth Proportional to 3,094.42, 4,633.71 and 1,706.22

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Solution

The fourth proportional to 3,094.42, 4,633.71 and 1,706.22 is: 2,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.42 : 4,633.71 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    3,094.42/4,633.71 = 1,706.22/x
  3. Step 3: Cross multiply
    3,094.42x = 4,633.71 × 1,706.22
  4. Step 4: Simplify right side
    3,094.42x = 7,906,103.54
  5. Step 5: Solve for x
    x = 7,906,103.54/3,094.42
  6. Step 6: Final answer
    x = 2,554.95

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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.