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Finding the Fourth Proportional to 3,402.34, 4,696.41 and 2,005

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Solution

The fourth proportional to 3,402.34, 4,696.41 and 2,005 is: 2,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.34 : 4,696.41 = 2,005 : x
  2. Step 2: Convert to fraction form
    3,402.34/4,696.41 = 2,005/x
  3. Step 3: Cross multiply
    3,402.34x = 4,696.41 × 2,005
  4. Step 4: Simplify right side
    3,402.34x = 9,416,302.05
  5. Step 5: Solve for x
    x = 9,416,302.05/3,402.34
  6. Step 6: Final answer
    x = 2,767.60

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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.