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Finding the Fourth Proportional to 2,361.56, 3,536.87 and 1,809.54

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Solution

The fourth proportional to 2,361.56, 3,536.87 and 1,809.54 is: 2,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.56 : 3,536.87 = 1,809.54 : x
  2. Step 2: Convert to fraction form
    2,361.56/3,536.87 = 1,809.54/x
  3. Step 3: Cross multiply
    2,361.56x = 3,536.87 × 1,809.54
  4. Step 4: Simplify right side
    2,361.56x = 6,400,098.69
  5. Step 5: Solve for x
    x = 6,400,098.69/2,361.56
  6. Step 6: Final answer
    x = 2,710.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.