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Finding the Fourth Proportional to 4,180.66, 6,269.68 and 1,511.90

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Solution

The fourth proportional to 4,180.66, 6,269.68 and 1,511.90 is: 2,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.66 : 6,269.68 = 1,511.90 : x
  2. Step 2: Convert to fraction form
    4,180.66/6,269.68 = 1,511.90/x
  3. Step 3: Cross multiply
    4,180.66x = 6,269.68 × 1,511.90
  4. Step 4: Simplify right side
    4,180.66x = 9,479,141.09
  5. Step 5: Solve for x
    x = 9,479,141.09/4,180.66
  6. Step 6: Final answer
    x = 2,267.38

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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.