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Finding the Fourth Proportional to 2,806.40, 3,878.16 and 2,106.56

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Solution

The fourth proportional to 2,806.40, 3,878.16 and 2,106.56 is: 2,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.40 : 3,878.16 = 2,106.56 : x
  2. Step 2: Convert to fraction form
    2,806.40/3,878.16 = 2,106.56/x
  3. Step 3: Cross multiply
    2,806.40x = 3,878.16 × 2,106.56
  4. Step 4: Simplify right side
    2,806.40x = 8,169,576.73
  5. Step 5: Solve for x
    x = 8,169,576.73/2,806.40
  6. Step 6: Final answer
    x = 2,911.05

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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.