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Finding the Fourth Proportional to 2,952.49, 4,072.88 and 1,944.04

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Solution

The fourth proportional to 2,952.49, 4,072.88 and 1,944.04 is: 2,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.49 : 4,072.88 = 1,944.04 : x
  2. Step 2: Convert to fraction form
    2,952.49/4,072.88 = 1,944.04/x
  3. Step 3: Cross multiply
    2,952.49x = 4,072.88 × 1,944.04
  4. Step 4: Simplify right side
    2,952.49x = 7,917,811.55
  5. Step 5: Solve for x
    x = 7,917,811.55/2,952.49
  6. Step 6: Final answer
    x = 2,681.74

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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.