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Finding the Fourth Proportional to 2,346.44, 3,238.44 and 1,786

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Solution

The fourth proportional to 2,346.44, 3,238.44 and 1,786 is: 2,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.44 : 3,238.44 = 1,786 : x
  2. Step 2: Convert to fraction form
    2,346.44/3,238.44 = 1,786/x
  3. Step 3: Cross multiply
    2,346.44x = 3,238.44 × 1,786
  4. Step 4: Simplify right side
    2,346.44x = 5,783,853.84
  5. Step 5: Solve for x
    x = 5,783,853.84/2,346.44
  6. Step 6: Final answer
    x = 2,464.95

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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.