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Finding the Fourth Proportional to 1,511.43, 2,267.19 and 415.81

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Solution

The fourth proportional to 1,511.43, 2,267.19 and 415.81 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.43 : 2,267.19 = 415.81 : x
  2. Step 2: Convert to fraction form
    1,511.43/2,267.19 = 415.81/x
  3. Step 3: Cross multiply
    1,511.43x = 2,267.19 × 415.81
  4. Step 4: Simplify right side
    1,511.43x = 942,720.27
  5. Step 5: Solve for x
    x = 942,720.27/1,511.43
  6. Step 6: Final answer
    x = 623.73

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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.