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Finding the Fourth Proportional to 1,742.38, 2,610.12 and 1,049.23

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Solution

The fourth proportional to 1,742.38, 2,610.12 and 1,049.23 is: 1,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.38 : 2,610.12 = 1,049.23 : x
  2. Step 2: Convert to fraction form
    1,742.38/2,610.12 = 1,049.23/x
  3. Step 3: Cross multiply
    1,742.38x = 2,610.12 × 1,049.23
  4. Step 4: Simplify right side
    1,742.38x = 2,738,616.21
  5. Step 5: Solve for x
    x = 2,738,616.21/1,742.38
  6. Step 6: Final answer
    x = 1,571.77

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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.