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Finding the Fourth Proportional to 2,725.54, 4,085.87 and 1,262.68

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Solution

The fourth proportional to 2,725.54, 4,085.87 and 1,262.68 is: 1,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.54 : 4,085.87 = 1,262.68 : x
  2. Step 2: Convert to fraction form
    2,725.54/4,085.87 = 1,262.68/x
  3. Step 3: Cross multiply
    2,725.54x = 4,085.87 × 1,262.68
  4. Step 4: Simplify right side
    2,725.54x = 5,159,146.33
  5. Step 5: Solve for x
    x = 5,159,146.33/2,725.54
  6. Step 6: Final answer
    x = 1,892.89

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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.