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Finding the Fourth Proportional to 3,188.35, 4,781.80 and 1,213.57

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Solution

The fourth proportional to 3,188.35, 4,781.80 and 1,213.57 is: 1,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.35 : 4,781.80 = 1,213.57 : x
  2. Step 2: Convert to fraction form
    3,188.35/4,781.80 = 1,213.57/x
  3. Step 3: Cross multiply
    3,188.35x = 4,781.80 × 1,213.57
  4. Step 4: Simplify right side
    3,188.35x = 5,803,019.05
  5. Step 5: Solve for x
    x = 5,803,019.05/3,188.35
  6. Step 6: Final answer
    x = 1,820.07

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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.