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Finding the Fourth Proportional to 2,952.96, 4,431.60 and 2,120.16

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Solution

The fourth proportional to 2,952.96, 4,431.60 and 2,120.16 is: 3,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.96 : 4,431.60 = 2,120.16 : x
  2. Step 2: Convert to fraction form
    2,952.96/4,431.60 = 2,120.16/x
  3. Step 3: Cross multiply
    2,952.96x = 4,431.60 × 2,120.16
  4. Step 4: Simplify right side
    2,952.96x = 9,395,701.06
  5. Step 5: Solve for x
    x = 9,395,701.06/2,952.96
  6. Step 6: Final answer
    x = 3,181.79

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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.