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Finding the Fourth Proportional to 1,744.33, 2,615.67 and 1,014.13

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Solution

The fourth proportional to 1,744.33, 2,615.67 and 1,014.13 is: 1,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.33 : 2,615.67 = 1,014.13 : x
  2. Step 2: Convert to fraction form
    1,744.33/2,615.67 = 1,014.13/x
  3. Step 3: Cross multiply
    1,744.33x = 2,615.67 × 1,014.13
  4. Step 4: Simplify right side
    1,744.33x = 2,652,629.42
  5. Step 5: Solve for x
    x = 2,652,629.42/1,744.33
  6. Step 6: Final answer
    x = 1,520.72

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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.