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Finding the Fourth Proportional to 2,450.38, 3,381.52 and 1,402.44

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Solution

The fourth proportional to 2,450.38, 3,381.52 and 1,402.44 is: 1,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.38 : 3,381.52 = 1,402.44 : x
  2. Step 2: Convert to fraction form
    2,450.38/3,381.52 = 1,402.44/x
  3. Step 3: Cross multiply
    2,450.38x = 3,381.52 × 1,402.44
  4. Step 4: Simplify right side
    2,450.38x = 4,742,378.91
  5. Step 5: Solve for x
    x = 4,742,378.91/2,450.38
  6. Step 6: Final answer
    x = 1,935.36

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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.