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Finding the Fourth Proportional to 1,638.94, 2,452.92 and 1,242.54

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Solution

The fourth proportional to 1,638.94, 2,452.92 and 1,242.54 is: 1,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.94 : 2,452.92 = 1,242.54 : x
  2. Step 2: Convert to fraction form
    1,638.94/2,452.92 = 1,242.54/x
  3. Step 3: Cross multiply
    1,638.94x = 2,452.92 × 1,242.54
  4. Step 4: Simplify right side
    1,638.94x = 3,047,851.22
  5. Step 5: Solve for x
    x = 3,047,851.22/1,638.94
  6. Step 6: Final answer
    x = 1,859.65

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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.