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Finding the Fourth Proportional to 2,361.77, 3,259.12 and 1,299.52

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Solution

The fourth proportional to 2,361.77, 3,259.12 and 1,299.52 is: 1,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.77 : 3,259.12 = 1,299.52 : x
  2. Step 2: Convert to fraction form
    2,361.77/3,259.12 = 1,299.52/x
  3. Step 3: Cross multiply
    2,361.77x = 3,259.12 × 1,299.52
  4. Step 4: Simplify right side
    2,361.77x = 4,235,291.62
  5. Step 5: Solve for x
    x = 4,235,291.62/2,361.77
  6. Step 6: Final answer
    x = 1,793.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.