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Finding the Fourth Proportional to 2,346.66, 3,238.83 and 1,676.28

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Solution

The fourth proportional to 2,346.66, 3,238.83 and 1,676.28 is: 2,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.66 : 3,238.83 = 1,676.28 : x
  2. Step 2: Convert to fraction form
    2,346.66/3,238.83 = 1,676.28/x
  3. Step 3: Cross multiply
    2,346.66x = 3,238.83 × 1,676.28
  4. Step 4: Simplify right side
    2,346.66x = 5,429,185.95
  5. Step 5: Solve for x
    x = 5,429,185.95/2,346.66
  6. Step 6: Final answer
    x = 2,313.58

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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.