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Finding the Fourth Proportional to 2,806.48, 3,871.20 and 2,246.32

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Solution

The fourth proportional to 2,806.48, 3,871.20 and 2,246.32 is: 3,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.48 : 3,871.20 = 2,246.32 : x
  2. Step 2: Convert to fraction form
    2,806.48/3,871.20 = 2,246.32/x
  3. Step 3: Cross multiply
    2,806.48x = 3,871.20 × 2,246.32
  4. Step 4: Simplify right side
    2,806.48x = 8,695,953.98
  5. Step 5: Solve for x
    x = 8,695,953.98/2,806.48
  6. Step 6: Final answer
    x = 3,098.53

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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.