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Finding the Fourth Proportional to 2,415.69, 3,622.05 and 1,028.23

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Solution

The fourth proportional to 2,415.69, 3,622.05 and 1,028.23 is: 1,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.69 : 3,622.05 = 1,028.23 : x
  2. Step 2: Convert to fraction form
    2,415.69/3,622.05 = 1,028.23/x
  3. Step 3: Cross multiply
    2,415.69x = 3,622.05 × 1,028.23
  4. Step 4: Simplify right side
    2,415.69x = 3,724,300.47
  5. Step 5: Solve for x
    x = 3,724,300.47/2,415.69
  6. Step 6: Final answer
    x = 1,541.71

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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.