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Finding the Fourth Proportional to 1,952.12, 2,924.88 and 1,181

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Solution

The fourth proportional to 1,952.12, 2,924.88 and 1,181 is: 1,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.12 : 2,924.88 = 1,181 : x
  2. Step 2: Convert to fraction form
    1,952.12/2,924.88 = 1,181/x
  3. Step 3: Cross multiply
    1,952.12x = 2,924.88 × 1,181
  4. Step 4: Simplify right side
    1,952.12x = 3,454,283.28
  5. Step 5: Solve for x
    x = 3,454,283.28/1,952.12
  6. Step 6: Final answer
    x = 1,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.