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Finding the Fourth Proportional to 2,594.51, 3,892.91 and 1,361.62

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Solution

The fourth proportional to 2,594.51, 3,892.91 and 1,361.62 is: 2,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.51 : 3,892.91 = 1,361.62 : x
  2. Step 2: Convert to fraction form
    2,594.51/3,892.91 = 1,361.62/x
  3. Step 3: Cross multiply
    2,594.51x = 3,892.91 × 1,361.62
  4. Step 4: Simplify right side
    2,594.51x = 5,300,664.11
  5. Step 5: Solve for x
    x = 5,300,664.11/2,594.51
  6. Step 6: Final answer
    x = 2,043.03

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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.