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Finding the Fourth Proportional to 2,815.84, 4,214.58 and 2,546.38

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Solution

The fourth proportional to 2,815.84, 4,214.58 and 2,546.38 is: 3,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.84 : 4,214.58 = 2,546.38 : x
  2. Step 2: Convert to fraction form
    2,815.84/4,214.58 = 2,546.38/x
  3. Step 3: Cross multiply
    2,815.84x = 4,214.58 × 2,546.38
  4. Step 4: Simplify right side
    2,815.84x = 10,731,922.22
  5. Step 5: Solve for x
    x = 10,731,922.22/2,815.84
  6. Step 6: Final answer
    x = 3,811.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.