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Finding the Fourth Proportional to 2,486.78, 3,725.97 and 1,185.38

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Solution

The fourth proportional to 2,486.78, 3,725.97 and 1,185.38 is: 1,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.78 : 3,725.97 = 1,185.38 : x
  2. Step 2: Convert to fraction form
    2,486.78/3,725.97 = 1,185.38/x
  3. Step 3: Cross multiply
    2,486.78x = 3,725.97 × 1,185.38
  4. Step 4: Simplify right side
    2,486.78x = 4,416,690.32
  5. Step 5: Solve for x
    x = 4,416,690.32/2,486.78
  6. Step 6: Final answer
    x = 1,776.07

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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.