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Finding the Fourth Proportional to 2,431.62, 3,647.28 and 969.72

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Solution

The fourth proportional to 2,431.62, 3,647.28 and 969.72 is: 1,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.62 : 3,647.28 = 969.72 : x
  2. Step 2: Convert to fraction form
    2,431.62/3,647.28 = 969.72/x
  3. Step 3: Cross multiply
    2,431.62x = 3,647.28 × 969.72
  4. Step 4: Simplify right side
    2,431.62x = 3,536,845.38
  5. Step 5: Solve for x
    x = 3,536,845.38/2,431.62
  6. Step 6: Final answer
    x = 1,454.52

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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.