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Finding the Fourth Proportional to 3,094.19, 4,270.19 and 1,696.94

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Solution

The fourth proportional to 3,094.19, 4,270.19 and 1,696.94 is: 2,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.19 : 4,270.19 = 1,696.94 : x
  2. Step 2: Convert to fraction form
    3,094.19/4,270.19 = 1,696.94/x
  3. Step 3: Cross multiply
    3,094.19x = 4,270.19 × 1,696.94
  4. Step 4: Simplify right side
    3,094.19x = 7,246,247.73
  5. Step 5: Solve for x
    x = 7,246,247.73/3,094.19
  6. Step 6: Final answer
    x = 2,341.89

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.