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Finding the Fourth Proportional to 2,346.44, 3,238 and 1,298.52

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Solution

The fourth proportional to 2,346.44, 3,238 and 1,298.52 is: 1,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.44 : 3,238 = 1,298.52 : x
  2. Step 2: Convert to fraction form
    2,346.44/3,238 = 1,298.52/x
  3. Step 3: Cross multiply
    2,346.44x = 3,238 × 1,298.52
  4. Step 4: Simplify right side
    2,346.44x = 4,204,607.76
  5. Step 5: Solve for x
    x = 4,204,607.76/2,346.44
  6. Step 6: Final answer
    x = 1,791.91

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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.