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Finding the Fourth Proportional to 2,647.52, 3,972.04 and 1,262.02

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Solution

The fourth proportional to 2,647.52, 3,972.04 and 1,262.02 is: 1,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.52 : 3,972.04 = 1,262.02 : x
  2. Step 2: Convert to fraction form
    2,647.52/3,972.04 = 1,262.02/x
  3. Step 3: Cross multiply
    2,647.52x = 3,972.04 × 1,262.02
  4. Step 4: Simplify right side
    2,647.52x = 5,012,795.38
  5. Step 5: Solve for x
    x = 5,012,795.38/2,647.52
  6. Step 6: Final answer
    x = 1,893.39

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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.