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Finding the Fourth Proportional to 2,346.42, 3,238.05 and 1,402.38

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Solution

The fourth proportional to 2,346.42, 3,238.05 and 1,402.38 is: 1,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.42 : 3,238.05 = 1,402.38 : x
  2. Step 2: Convert to fraction form
    2,346.42/3,238.05 = 1,402.38/x
  3. Step 3: Cross multiply
    2,346.42x = 3,238.05 × 1,402.38
  4. Step 4: Simplify right side
    2,346.42x = 4,540,976.56
  5. Step 5: Solve for x
    x = 4,540,976.56/2,346.42
  6. Step 6: Final answer
    x = 1,935.28

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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.