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Finding the Fourth Proportional to 1,949.42, 2,684.16 and 1,522.94

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Solution

The fourth proportional to 1,949.42, 2,684.16 and 1,522.94 is: 2,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.42 : 2,684.16 = 1,522.94 : x
  2. Step 2: Convert to fraction form
    1,949.42/2,684.16 = 1,522.94/x
  3. Step 3: Cross multiply
    1,949.42x = 2,684.16 × 1,522.94
  4. Step 4: Simplify right side
    1,949.42x = 4,087,814.63
  5. Step 5: Solve for x
    x = 4,087,814.63/1,949.42
  6. Step 6: Final answer
    x = 2,096.94

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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.