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Finding the Fourth Proportional to 2,806.94, 3,873.49 and 1,530.77

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Solution

The fourth proportional to 2,806.94, 3,873.49 and 1,530.77 is: 2,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.94 : 3,873.49 = 1,530.77 : x
  2. Step 2: Convert to fraction form
    2,806.94/3,873.49 = 1,530.77/x
  3. Step 3: Cross multiply
    2,806.94x = 3,873.49 × 1,530.77
  4. Step 4: Simplify right side
    2,806.94x = 5,929,422.29
  5. Step 5: Solve for x
    x = 5,929,422.29/2,806.94
  6. Step 6: Final answer
    x = 2,112.42

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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.