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Finding the Fourth Proportional to 3,038.69, 4,550.67 and 1,736.21

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Solution

The fourth proportional to 3,038.69, 4,550.67 and 1,736.21 is: 2,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.69 : 4,550.67 = 1,736.21 : x
  2. Step 2: Convert to fraction form
    3,038.69/4,550.67 = 1,736.21/x
  3. Step 3: Cross multiply
    3,038.69x = 4,550.67 × 1,736.21
  4. Step 4: Simplify right side
    3,038.69x = 7,900,896.01
  5. Step 5: Solve for x
    x = 7,900,896.01/3,038.69
  6. Step 6: Final answer
    x = 2,600.10

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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.