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Finding the Fourth Proportional to 2,361.36, 3,546.32 and 2,069.76

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Solution

The fourth proportional to 2,361.36, 3,546.32 and 2,069.76 is: 3,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.36 : 3,546.32 = 2,069.76 : x
  2. Step 2: Convert to fraction form
    2,361.36/3,546.32 = 2,069.76/x
  3. Step 3: Cross multiply
    2,361.36x = 3,546.32 × 2,069.76
  4. Step 4: Simplify right side
    2,361.36x = 7,340,031.28
  5. Step 5: Solve for x
    x = 7,340,031.28/2,361.36
  6. Step 6: Final answer
    x = 3,108.39

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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.