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Finding the Fourth Proportional to 1,952.90, 2,924.69 and 1,074.05

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Solution

The fourth proportional to 1,952.90, 2,924.69 and 1,074.05 is: 1,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.90 : 2,924.69 = 1,074.05 : x
  2. Step 2: Convert to fraction form
    1,952.90/2,924.69 = 1,074.05/x
  3. Step 3: Cross multiply
    1,952.90x = 2,924.69 × 1,074.05
  4. Step 4: Simplify right side
    1,952.90x = 3,141,243.30
  5. Step 5: Solve for x
    x = 3,141,243.30/1,952.90
  6. Step 6: Final answer
    x = 1,608.51

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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.