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Finding the Fourth Proportional to 2,647.68, 3,972.36 and 1,004.36

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Solution

The fourth proportional to 2,647.68, 3,972.36 and 1,004.36 is: 1,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.68 : 3,972.36 = 1,004.36 : x
  2. Step 2: Convert to fraction form
    2,647.68/3,972.36 = 1,004.36/x
  3. Step 3: Cross multiply
    2,647.68x = 3,972.36 × 1,004.36
  4. Step 4: Simplify right side
    2,647.68x = 3,989,679.49
  5. Step 5: Solve for x
    x = 3,989,679.49/2,647.68
  6. Step 6: Final answer
    x = 1,506.86

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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.