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Finding the Fourth Proportional to 2,409.98, 3,324.49 and 1,466.06

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Solution

The fourth proportional to 2,409.98, 3,324.49 and 1,466.06 is: 2,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.98 : 3,324.49 = 1,466.06 : x
  2. Step 2: Convert to fraction form
    2,409.98/3,324.49 = 1,466.06/x
  3. Step 3: Cross multiply
    2,409.98x = 3,324.49 × 1,466.06
  4. Step 4: Simplify right side
    2,409.98x = 4,873,913.79
  5. Step 5: Solve for x
    x = 4,873,913.79/2,409.98
  6. Step 6: Final answer
    x = 2,022.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.