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Finding the Fourth Proportional to 2,812.47, 3,879.23 and 1,854.24

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Solution

The fourth proportional to 2,812.47, 3,879.23 and 1,854.24 is: 2,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.47 : 3,879.23 = 1,854.24 : x
  2. Step 2: Convert to fraction form
    2,812.47/3,879.23 = 1,854.24/x
  3. Step 3: Cross multiply
    2,812.47x = 3,879.23 × 1,854.24
  4. Step 4: Simplify right side
    2,812.47x = 7,193,014.16
  5. Step 5: Solve for x
    x = 7,193,014.16/2,812.47
  6. Step 6: Final answer
    x = 2,557.54

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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.