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Finding the Fourth Proportional to 1,616.33, 2,424.04 and 446.06

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Solution

The fourth proportional to 1,616.33, 2,424.04 and 446.06 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.33 : 2,424.04 = 446.06 : x
  2. Step 2: Convert to fraction form
    1,616.33/2,424.04 = 446.06/x
  3. Step 3: Cross multiply
    1,616.33x = 2,424.04 × 446.06
  4. Step 4: Simplify right side
    1,616.33x = 1,081,259.22
  5. Step 5: Solve for x
    x = 1,081,259.22/1,616.33
  6. Step 6: Final answer
    x = 668.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.