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Finding the Fourth Proportional to 2,966, 4,092.96 and 1,639.64

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Solution

The fourth proportional to 2,966, 4,092.96 and 1,639.64 is: 2,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966 : 4,092.96 = 1,639.64 : x
  2. Step 2: Convert to fraction form
    2,966/4,092.96 = 1,639.64/x
  3. Step 3: Cross multiply
    2,966x = 4,092.96 × 1,639.64
  4. Step 4: Simplify right side
    2,966x = 6,710,980.93
  5. Step 5: Solve for x
    x = 6,710,980.93/2,966
  6. Step 6: Final answer
    x = 2,262.64

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Why These Related Problems?

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