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Finding the Fourth Proportional to 2,420.94, 3,632.75 and 1,035.33

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Solution

The fourth proportional to 2,420.94, 3,632.75 and 1,035.33 is: 1,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.94 : 3,632.75 = 1,035.33 : x
  2. Step 2: Convert to fraction form
    2,420.94/3,632.75 = 1,035.33/x
  3. Step 3: Cross multiply
    2,420.94x = 3,632.75 × 1,035.33
  4. Step 4: Simplify right side
    2,420.94x = 3,761,100.57
  5. Step 5: Solve for x
    x = 3,761,100.57/2,420.94
  6. Step 6: Final answer
    x = 1,553.57

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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.