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Finding the Fourth Proportional to 2,185.62, 3,279.78 and 1,263

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Solution

The fourth proportional to 2,185.62, 3,279.78 and 1,263 is: 1,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.62 : 3,279.78 = 1,263 : x
  2. Step 2: Convert to fraction form
    2,185.62/3,279.78 = 1,263/x
  3. Step 3: Cross multiply
    2,185.62x = 3,279.78 × 1,263
  4. Step 4: Simplify right side
    2,185.62x = 4,142,362.14
  5. Step 5: Solve for x
    x = 4,142,362.14/2,185.62
  6. Step 6: Final answer
    x = 1,895.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.