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Finding the Fourth Proportional to 2,052.48, 2,832.54 and 1,266.54

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Solution

The fourth proportional to 2,052.48, 2,832.54 and 1,266.54 is: 1,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.48 : 2,832.54 = 1,266.54 : x
  2. Step 2: Convert to fraction form
    2,052.48/2,832.54 = 1,266.54/x
  3. Step 3: Cross multiply
    2,052.48x = 2,832.54 × 1,266.54
  4. Step 4: Simplify right side
    2,052.48x = 3,587,525.21
  5. Step 5: Solve for x
    x = 3,587,525.21/2,052.48
  6. Step 6: Final answer
    x = 1,747.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.