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Finding the Fourth Proportional to 3,212.95, 4,819.65 and 1,363.86

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Solution

The fourth proportional to 3,212.95, 4,819.65 and 1,363.86 is: 2,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.95 : 4,819.65 = 1,363.86 : x
  2. Step 2: Convert to fraction form
    3,212.95/4,819.65 = 1,363.86/x
  3. Step 3: Cross multiply
    3,212.95x = 4,819.65 × 1,363.86
  4. Step 4: Simplify right side
    3,212.95x = 6,573,327.85
  5. Step 5: Solve for x
    x = 6,573,327.85/3,212.95
  6. Step 6: Final answer
    x = 2,045.89

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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.