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Finding the Fourth Proportional to 1,438.20, 1,978.16 and 1,169.28

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Solution

The fourth proportional to 1,438.20, 1,978.16 and 1,169.28 is: 1,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.20 : 1,978.16 = 1,169.28 : x
  2. Step 2: Convert to fraction form
    1,438.20/1,978.16 = 1,169.28/x
  3. Step 3: Cross multiply
    1,438.20x = 1,978.16 × 1,169.28
  4. Step 4: Simplify right side
    1,438.20x = 2,313,017.08
  5. Step 5: Solve for x
    x = 2,313,017.08/1,438.20
  6. Step 6: Final answer
    x = 1,608.27

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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.