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Finding the Fourth Proportional to 3,305.46, 4,958.04 and 1,456.08

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Solution

The fourth proportional to 3,305.46, 4,958.04 and 1,456.08 is: 2,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.46 : 4,958.04 = 1,456.08 : x
  2. Step 2: Convert to fraction form
    3,305.46/4,958.04 = 1,456.08/x
  3. Step 3: Cross multiply
    3,305.46x = 4,958.04 × 1,456.08
  4. Step 4: Simplify right side
    3,305.46x = 7,219,302.88
  5. Step 5: Solve for x
    x = 7,219,302.88/3,305.46
  6. Step 6: Final answer
    x = 2,184.05

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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.