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Finding the Fourth Proportional to 3,063.39, 4,591.43 and 1,416.41

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Solution

The fourth proportional to 3,063.39, 4,591.43 and 1,416.41 is: 2,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.39 : 4,591.43 = 1,416.41 : x
  2. Step 2: Convert to fraction form
    3,063.39/4,591.43 = 1,416.41/x
  3. Step 3: Cross multiply
    3,063.39x = 4,591.43 × 1,416.41
  4. Step 4: Simplify right side
    3,063.39x = 6,503,339.86
  5. Step 5: Solve for x
    x = 6,503,339.86/3,063.39
  6. Step 6: Final answer
    x = 2,122.93

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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.