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Finding the Fourth Proportional to 1,438.08, 2,157.44 and 412

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Solution

The fourth proportional to 1,438.08, 2,157.44 and 412 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.08 : 2,157.44 = 412 : x
  2. Step 2: Convert to fraction form
    1,438.08/2,157.44 = 412/x
  3. Step 3: Cross multiply
    1,438.08x = 2,157.44 × 412
  4. Step 4: Simplify right side
    1,438.08x = 888,865.28
  5. Step 5: Solve for x
    x = 888,865.28/1,438.08
  6. Step 6: Final answer
    x = 618.09

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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.