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Finding the Fourth Proportional to 2,812.74, 3,875.46 and 1,879.62

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Solution

The fourth proportional to 2,812.74, 3,875.46 and 1,879.62 is: 2,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.74 : 3,875.46 = 1,879.62 : x
  2. Step 2: Convert to fraction form
    2,812.74/3,875.46 = 1,879.62/x
  3. Step 3: Cross multiply
    2,812.74x = 3,875.46 × 1,879.62
  4. Step 4: Simplify right side
    2,812.74x = 7,284,392.13
  5. Step 5: Solve for x
    x = 7,284,392.13/2,812.74
  6. Step 6: Final answer
    x = 2,589.79

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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.