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Finding the Fourth Proportional to 2,346.78, 3,238.72 and 1,298.82

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Solution

The fourth proportional to 2,346.78, 3,238.72 and 1,298.82 is: 1,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.78 : 3,238.72 = 1,298.82 : x
  2. Step 2: Convert to fraction form
    2,346.78/3,238.72 = 1,298.82/x
  3. Step 3: Cross multiply
    2,346.78x = 3,238.72 × 1,298.82
  4. Step 4: Simplify right side
    2,346.78x = 4,206,514.31
  5. Step 5: Solve for x
    x = 4,206,514.31/2,346.78
  6. Step 6: Final answer
    x = 1,792.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.