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Finding the Fourth Proportional to 2,805.86, 3,871.32 and 1,811.46

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Solution

The fourth proportional to 2,805.86, 3,871.32 and 1,811.46 is: 2,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.86 : 3,871.32 = 1,811.46 : x
  2. Step 2: Convert to fraction form
    2,805.86/3,871.32 = 1,811.46/x
  3. Step 3: Cross multiply
    2,805.86x = 3,871.32 × 1,811.46
  4. Step 4: Simplify right side
    2,805.86x = 7,012,741.33
  5. Step 5: Solve for x
    x = 7,012,741.33/2,805.86
  6. Step 6: Final answer
    x = 2,499.32

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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.