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Finding the Fourth Proportional to 4,671.44, 7,007.34 and 1,208.70

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Solution

The fourth proportional to 4,671.44, 7,007.34 and 1,208.70 is: 1,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.44 : 7,007.34 = 1,208.70 : x
  2. Step 2: Convert to fraction form
    4,671.44/7,007.34 = 1,208.70/x
  3. Step 3: Cross multiply
    4,671.44x = 7,007.34 × 1,208.70
  4. Step 4: Simplify right side
    4,671.44x = 8,469,771.86
  5. Step 5: Solve for x
    x = 8,469,771.86/4,671.44
  6. Step 6: Final answer
    x = 1,813.10

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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.