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Finding the Fourth Proportional to 1,621.64, 2,412.99 and 1,616.18

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Solution

The fourth proportional to 1,621.64, 2,412.99 and 1,616.18 is: 2,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.64 : 2,412.99 = 1,616.18 : x
  2. Step 2: Convert to fraction form
    1,621.64/2,412.99 = 1,616.18/x
  3. Step 3: Cross multiply
    1,621.64x = 2,412.99 × 1,616.18
  4. Step 4: Simplify right side
    1,621.64x = 3,899,814.11
  5. Step 5: Solve for x
    x = 3,899,814.11/1,621.64
  6. Step 6: Final answer
    x = 2,404.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.