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Finding the Fourth Proportional to 2,461, 3,396.66 and 1,466.44

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Solution

The fourth proportional to 2,461, 3,396.66 and 1,466.44 is: 2,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461 : 3,396.66 = 1,466.44 : x
  2. Step 2: Convert to fraction form
    2,461/3,396.66 = 1,466.44/x
  3. Step 3: Cross multiply
    2,461x = 3,396.66 × 1,466.44
  4. Step 4: Simplify right side
    2,461x = 4,980,998.09
  5. Step 5: Solve for x
    x = 4,980,998.09/2,461
  6. Step 6: Final answer
    x = 2,023.97

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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.