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Finding the Fourth Proportional to 3,298.40, 4,945.89 and 1,218.32

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Solution

The fourth proportional to 3,298.40, 4,945.89 and 1,218.32 is: 1,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.40 : 4,945.89 = 1,218.32 : x
  2. Step 2: Convert to fraction form
    3,298.40/4,945.89 = 1,218.32/x
  3. Step 3: Cross multiply
    3,298.40x = 4,945.89 × 1,218.32
  4. Step 4: Simplify right side
    3,298.40x = 6,025,676.70
  5. Step 5: Solve for x
    x = 6,025,676.70/3,298.40
  6. Step 6: Final answer
    x = 1,826.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.