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Finding the Fourth Proportional to 3,212.84, 4,820.42 and 1,263.96

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Solution

The fourth proportional to 3,212.84, 4,820.42 and 1,263.96 is: 1,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.84 : 4,820.42 = 1,263.96 : x
  2. Step 2: Convert to fraction form
    3,212.84/4,820.42 = 1,263.96/x
  3. Step 3: Cross multiply
    3,212.84x = 4,820.42 × 1,263.96
  4. Step 4: Simplify right side
    3,212.84x = 6,092,818.06
  5. Step 5: Solve for x
    x = 6,092,818.06/3,212.84
  6. Step 6: Final answer
    x = 1,896.40

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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.