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Finding the Fourth Proportional to 2,361.17, 3,542.52 and 1,128.67

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Solution

The fourth proportional to 2,361.17, 3,542.52 and 1,128.67 is: 1,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.17 : 3,542.52 = 1,128.67 : x
  2. Step 2: Convert to fraction form
    2,361.17/3,542.52 = 1,128.67/x
  3. Step 3: Cross multiply
    2,361.17x = 3,542.52 × 1,128.67
  4. Step 4: Simplify right side
    2,361.17x = 3,998,352.25
  5. Step 5: Solve for x
    x = 3,998,352.25/2,361.17
  6. Step 6: Final answer
    x = 1,693.38

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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.