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Finding the Fourth Proportional to 3,041.91, 4,562.87 and 733.41

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Solution

The fourth proportional to 3,041.91, 4,562.87 and 733.41 is: 1,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.91 : 4,562.87 = 733.41 : x
  2. Step 2: Convert to fraction form
    3,041.91/4,562.87 = 733.41/x
  3. Step 3: Cross multiply
    3,041.91x = 4,562.87 × 733.41
  4. Step 4: Simplify right side
    3,041.91x = 3,346,450.82
  5. Step 5: Solve for x
    x = 3,346,450.82/3,041.91
  6. Step 6: Final answer
    x = 1,100.12

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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.