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Finding the Fourth Proportional to 2,637.34, 3,954.66 and 1,405.42

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Solution

The fourth proportional to 2,637.34, 3,954.66 and 1,405.42 is: 2,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.34 : 3,954.66 = 1,405.42 : x
  2. Step 2: Convert to fraction form
    2,637.34/3,954.66 = 1,405.42/x
  3. Step 3: Cross multiply
    2,637.34x = 3,954.66 × 1,405.42
  4. Step 4: Simplify right side
    2,637.34x = 5,557,958.26
  5. Step 5: Solve for x
    x = 5,557,958.26/2,637.34
  6. Step 6: Final answer
    x = 2,107.41

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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.