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Finding the Fourth Proportional to 3,171.08, 4,755.40 and 1,416.62

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Solution

The fourth proportional to 3,171.08, 4,755.40 and 1,416.62 is: 2,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.08 : 4,755.40 = 1,416.62 : x
  2. Step 2: Convert to fraction form
    3,171.08/4,755.40 = 1,416.62/x
  3. Step 3: Cross multiply
    3,171.08x = 4,755.40 × 1,416.62
  4. Step 4: Simplify right side
    3,171.08x = 6,736,594.75
  5. Step 5: Solve for x
    x = 6,736,594.75/3,171.08
  6. Step 6: Final answer
    x = 2,124.38

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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.