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Finding the Fourth Proportional to 1,616.15, 2,424.20 and 890.33

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Solution

The fourth proportional to 1,616.15, 2,424.20 and 890.33 is: 1,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.15 : 2,424.20 = 890.33 : x
  2. Step 2: Convert to fraction form
    1,616.15/2,424.20 = 890.33/x
  3. Step 3: Cross multiply
    1,616.15x = 2,424.20 × 890.33
  4. Step 4: Simplify right side
    1,616.15x = 2,158,321.41
  5. Step 5: Solve for x
    x = 2,158,321.41/1,616.15
  6. Step 6: Final answer
    x = 1,335.47

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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.