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Finding the Fourth Proportional to 2,648.54, 3,969.96 and 1,261

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Solution

The fourth proportional to 2,648.54, 3,969.96 and 1,261 is: 1,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.54 : 3,969.96 = 1,261 : x
  2. Step 2: Convert to fraction form
    2,648.54/3,969.96 = 1,261/x
  3. Step 3: Cross multiply
    2,648.54x = 3,969.96 × 1,261
  4. Step 4: Simplify right side
    2,648.54x = 5,006,119.56
  5. Step 5: Solve for x
    x = 5,006,119.56/2,648.54
  6. Step 6: Final answer
    x = 1,890.14

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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.