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Finding the Fourth Proportional to 2,347.64, 3,523.76 and 1,960.12

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Solution

The fourth proportional to 2,347.64, 3,523.76 and 1,960.12 is: 2,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.64 : 3,523.76 = 1,960.12 : x
  2. Step 2: Convert to fraction form
    2,347.64/3,523.76 = 1,960.12/x
  3. Step 3: Cross multiply
    2,347.64x = 3,523.76 × 1,960.12
  4. Step 4: Simplify right side
    2,347.64x = 6,906,965.03
  5. Step 5: Solve for x
    x = 6,906,965.03/2,347.64
  6. Step 6: Final answer
    x = 2,942.09

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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.