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Finding the Fourth Proportional to 1,616.22, 2,424.09 and 446.31

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Solution

The fourth proportional to 1,616.22, 2,424.09 and 446.31 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.22 : 2,424.09 = 446.31 : x
  2. Step 2: Convert to fraction form
    1,616.22/2,424.09 = 446.31/x
  3. Step 3: Cross multiply
    1,616.22x = 2,424.09 × 446.31
  4. Step 4: Simplify right side
    1,616.22x = 1,081,895.61
  5. Step 5: Solve for x
    x = 1,081,895.61/1,616.22
  6. Step 6: Final answer
    x = 669.40

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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.