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Finding the Fourth Proportional to 2,648.52, 3,971.31 and 1,262.16

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Solution

The fourth proportional to 2,648.52, 3,971.31 and 1,262.16 is: 1,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.52 : 3,971.31 = 1,262.16 : x
  2. Step 2: Convert to fraction form
    2,648.52/3,971.31 = 1,262.16/x
  3. Step 3: Cross multiply
    2,648.52x = 3,971.31 × 1,262.16
  4. Step 4: Simplify right side
    2,648.52x = 5,012,428.63
  5. Step 5: Solve for x
    x = 5,012,428.63/2,648.52
  6. Step 6: Final answer
    x = 1,892.54

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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.