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Finding the Fourth Proportional to 2,604.64, 3,902.37 and 1,369.12

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Solution

The fourth proportional to 2,604.64, 3,902.37 and 1,369.12 is: 2,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.64 : 3,902.37 = 1,369.12 : x
  2. Step 2: Convert to fraction form
    2,604.64/3,902.37 = 1,369.12/x
  3. Step 3: Cross multiply
    2,604.64x = 3,902.37 × 1,369.12
  4. Step 4: Simplify right side
    2,604.64x = 5,342,812.81
  5. Step 5: Solve for x
    x = 5,342,812.81/2,604.64
  6. Step 6: Final answer
    x = 2,051.27

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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.