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Finding the Fourth Proportional to 2,817.80, 3,886.44 and 2,156.84

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Solution

The fourth proportional to 2,817.80, 3,886.44 and 2,156.84 is: 2,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.80 : 3,886.44 = 2,156.84 : x
  2. Step 2: Convert to fraction form
    2,817.80/3,886.44 = 2,156.84/x
  3. Step 3: Cross multiply
    2,817.80x = 3,886.44 × 2,156.84
  4. Step 4: Simplify right side
    2,817.80x = 8,382,429.25
  5. Step 5: Solve for x
    x = 8,382,429.25/2,817.80
  6. Step 6: Final answer
    x = 2,974.81

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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.