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Finding the Fourth Proportional to 2,431.04, 3,647.52 and 892.16

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Solution

The fourth proportional to 2,431.04, 3,647.52 and 892.16 is: 1,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.04 : 3,647.52 = 892.16 : x
  2. Step 2: Convert to fraction form
    2,431.04/3,647.52 = 892.16/x
  3. Step 3: Cross multiply
    2,431.04x = 3,647.52 × 892.16
  4. Step 4: Simplify right side
    2,431.04x = 3,254,171.44
  5. Step 5: Solve for x
    x = 3,254,171.44/2,431.04
  6. Step 6: Final answer
    x = 1,338.59

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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.