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Finding the Fourth Proportional to 3,482.14, 4,805.43 and 1,910.24

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Solution

The fourth proportional to 3,482.14, 4,805.43 and 1,910.24 is: 2,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.14 : 4,805.43 = 1,910.24 : x
  2. Step 2: Convert to fraction form
    3,482.14/4,805.43 = 1,910.24/x
  3. Step 3: Cross multiply
    3,482.14x = 4,805.43 × 1,910.24
  4. Step 4: Simplify right side
    3,482.14x = 9,179,524.60
  5. Step 5: Solve for x
    x = 9,179,524.60/3,482.14
  6. Step 6: Final answer
    x = 2,636.17

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