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Finding the Fourth Proportional to 1,608.03, 2,219.16 and 978.46

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Solution

The fourth proportional to 1,608.03, 2,219.16 and 978.46 is: 1,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.03 : 2,219.16 = 978.46 : x
  2. Step 2: Convert to fraction form
    1,608.03/2,219.16 = 978.46/x
  3. Step 3: Cross multiply
    1,608.03x = 2,219.16 × 978.46
  4. Step 4: Simplify right side
    1,608.03x = 2,171,357.41
  5. Step 5: Solve for x
    x = 2,171,357.41/1,608.03
  6. Step 6: Final answer
    x = 1,350.32

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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.