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Finding the Fourth Proportional to 1,952.64, 2,694.70 and 1,068.50

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Solution

The fourth proportional to 1,952.64, 2,694.70 and 1,068.50 is: 1,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.64 : 2,694.70 = 1,068.50 : x
  2. Step 2: Convert to fraction form
    1,952.64/2,694.70 = 1,068.50/x
  3. Step 3: Cross multiply
    1,952.64x = 2,694.70 × 1,068.50
  4. Step 4: Simplify right side
    1,952.64x = 2,879,286.95
  5. Step 5: Solve for x
    x = 2,879,286.95/1,952.64
  6. Step 6: Final answer
    x = 1,474.56

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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.