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Finding the Fourth Proportional to 2,601.36, 3,902.76 and 1,214.64

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Solution

The fourth proportional to 2,601.36, 3,902.76 and 1,214.64 is: 1,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.36 : 3,902.76 = 1,214.64 : x
  2. Step 2: Convert to fraction form
    2,601.36/3,902.76 = 1,214.64/x
  3. Step 3: Cross multiply
    2,601.36x = 3,902.76 × 1,214.64
  4. Step 4: Simplify right side
    2,601.36x = 4,740,448.41
  5. Step 5: Solve for x
    x = 4,740,448.41/2,601.36
  6. Step 6: Final answer
    x = 1,822.30

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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.