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Finding the Fourth Proportional to 3,358, 4,634.10 and 1,960.84

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Solution

The fourth proportional to 3,358, 4,634.10 and 1,960.84 is: 2,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358 : 4,634.10 = 1,960.84 : x
  2. Step 2: Convert to fraction form
    3,358/4,634.10 = 1,960.84/x
  3. Step 3: Cross multiply
    3,358x = 4,634.10 × 1,960.84
  4. Step 4: Simplify right side
    3,358x = 9,086,728.64
  5. Step 5: Solve for x
    x = 9,086,728.64/3,358
  6. Step 6: Final answer
    x = 2,705.99

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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.