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Finding the Fourth Proportional to 1,616.19, 2,424.29 and 966.80

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Solution

The fourth proportional to 1,616.19, 2,424.29 and 966.80 is: 1,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.19 : 2,424.29 = 966.80 : x
  2. Step 2: Convert to fraction form
    1,616.19/2,424.29 = 966.80/x
  3. Step 3: Cross multiply
    1,616.19x = 2,424.29 × 966.80
  4. Step 4: Simplify right side
    1,616.19x = 2,343,786.62
  5. Step 5: Solve for x
    x = 2,343,786.62/1,616.19
  6. Step 6: Final answer
    x = 1,450.19

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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.