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Finding the Fourth Proportional to 3,212.56, 4,818.81 and 1,653

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Solution

The fourth proportional to 3,212.56, 4,818.81 and 1,653 is: 2,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.56 : 4,818.81 = 1,653 : x
  2. Step 2: Convert to fraction form
    3,212.56/4,818.81 = 1,653/x
  3. Step 3: Cross multiply
    3,212.56x = 4,818.81 × 1,653
  4. Step 4: Simplify right side
    3,212.56x = 7,965,492.93
  5. Step 5: Solve for x
    x = 7,965,492.93/3,212.56
  6. Step 6: Final answer
    x = 2,479.48

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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.