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Finding the Fourth Proportional to 2,361.87, 3,537.09 and 1,190.34

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Solution

The fourth proportional to 2,361.87, 3,537.09 and 1,190.34 is: 1,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.87 : 3,537.09 = 1,190.34 : x
  2. Step 2: Convert to fraction form
    2,361.87/3,537.09 = 1,190.34/x
  3. Step 3: Cross multiply
    2,361.87x = 3,537.09 × 1,190.34
  4. Step 4: Simplify right side
    2,361.87x = 4,210,339.71
  5. Step 5: Solve for x
    x = 4,210,339.71/2,361.87
  6. Step 6: Final answer
    x = 1,782.63

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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.