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Finding the Fourth Proportional to 2,464.56, 3,425.22 and 2,438.64

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Solution

The fourth proportional to 2,464.56, 3,425.22 and 2,438.64 is: 3,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.56 : 3,425.22 = 2,438.64 : x
  2. Step 2: Convert to fraction form
    2,464.56/3,425.22 = 2,438.64/x
  3. Step 3: Cross multiply
    2,464.56x = 3,425.22 × 2,438.64
  4. Step 4: Simplify right side
    2,464.56x = 8,352,878.50
  5. Step 5: Solve for x
    x = 8,352,878.50/2,464.56
  6. Step 6: Final answer
    x = 3,389.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.