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Finding the Fourth Proportional to 2,464.56, 3,401.10 and 1,679.98

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Solution

The fourth proportional to 2,464.56, 3,401.10 and 1,679.98 is: 2,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.56 : 3,401.10 = 1,679.98 : x
  2. Step 2: Convert to fraction form
    2,464.56/3,401.10 = 1,679.98/x
  3. Step 3: Cross multiply
    2,464.56x = 3,401.10 × 1,679.98
  4. Step 4: Simplify right side
    2,464.56x = 5,713,779.98
  5. Step 5: Solve for x
    x = 5,713,779.98/2,464.56
  6. Step 6: Final answer
    x = 2,318.38

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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.