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Finding the Fourth Proportional to 2,966.62, 4,094.23 and 1,640.42

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Solution

The fourth proportional to 2,966.62, 4,094.23 and 1,640.42 is: 2,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.62 : 4,094.23 = 1,640.42 : x
  2. Step 2: Convert to fraction form
    2,966.62/4,094.23 = 1,640.42/x
  3. Step 3: Cross multiply
    2,966.62x = 4,094.23 × 1,640.42
  4. Step 4: Simplify right side
    2,966.62x = 6,716,256.78
  5. Step 5: Solve for x
    x = 6,716,256.78/2,966.62
  6. Step 6: Final answer
    x = 2,263.95

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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.