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Finding the Fourth Proportional to 1,616.13, 2,424.21 and 461.88

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Solution

The fourth proportional to 1,616.13, 2,424.21 and 461.88 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.13 : 2,424.21 = 461.88 : x
  2. Step 2: Convert to fraction form
    1,616.13/2,424.21 = 461.88/x
  3. Step 3: Cross multiply
    1,616.13x = 2,424.21 × 461.88
  4. Step 4: Simplify right side
    1,616.13x = 1,119,694.11
  5. Step 5: Solve for x
    x = 1,119,694.11/1,616.13
  6. Step 6: Final answer
    x = 692.82

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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.