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Finding the Fourth Proportional to 2,960.40, 4,083.92 and 1,953.16

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Solution

The fourth proportional to 2,960.40, 4,083.92 and 1,953.16 is: 2,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.40 : 4,083.92 = 1,953.16 : x
  2. Step 2: Convert to fraction form
    2,960.40/4,083.92 = 1,953.16/x
  3. Step 3: Cross multiply
    2,960.40x = 4,083.92 × 1,953.16
  4. Step 4: Simplify right side
    2,960.40x = 7,976,549.19
  5. Step 5: Solve for x
    x = 7,976,549.19/2,960.40
  6. Step 6: Final answer
    x = 2,694.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.