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Finding the Fourth Proportional to 2,415.60, 3,622.48 and 1,028.07

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Solution

The fourth proportional to 2,415.60, 3,622.48 and 1,028.07 is: 1,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.60 : 3,622.48 = 1,028.07 : x
  2. Step 2: Convert to fraction form
    2,415.60/3,622.48 = 1,028.07/x
  3. Step 3: Cross multiply
    2,415.60x = 3,622.48 × 1,028.07
  4. Step 4: Simplify right side
    2,415.60x = 3,724,163.01
  5. Step 5: Solve for x
    x = 3,724,163.01/2,415.60
  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.