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Finding the Fourth Proportional to 4,431.09, 6,648.17 and 1,967.64

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Solution

The fourth proportional to 4,431.09, 6,648.17 and 1,967.64 is: 2,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.09 : 6,648.17 = 1,967.64 : x
  2. Step 2: Convert to fraction form
    4,431.09/6,648.17 = 1,967.64/x
  3. Step 3: Cross multiply
    4,431.09x = 6,648.17 × 1,967.64
  4. Step 4: Simplify right side
    4,431.09x = 13,081,195.38
  5. Step 5: Solve for x
    x = 13,081,195.38/4,431.09
  6. Step 6: Final answer
    x = 2,952.14

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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.