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Finding the Fourth Proportional to 1,744.56, 2,615.40 and 1,282.32

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Solution

The fourth proportional to 1,744.56, 2,615.40 and 1,282.32 is: 1,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.56 : 2,615.40 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    1,744.56/2,615.40 = 1,282.32/x
  3. Step 3: Cross multiply
    1,744.56x = 2,615.40 × 1,282.32
  4. Step 4: Simplify right side
    1,744.56x = 3,353,779.73
  5. Step 5: Solve for x
    x = 3,353,779.73/1,744.56
  6. Step 6: Final answer
    x = 1,922.42

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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.