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Finding the Fourth Proportional to 1,972.24, 2,958.76 and 739.62

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Solution

The fourth proportional to 1,972.24, 2,958.76 and 739.62 is: 1,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.24 : 2,958.76 = 739.62 : x
  2. Step 2: Convert to fraction form
    1,972.24/2,958.76 = 739.62/x
  3. Step 3: Cross multiply
    1,972.24x = 2,958.76 × 739.62
  4. Step 4: Simplify right side
    1,972.24x = 2,188,358.07
  5. Step 5: Solve for x
    x = 2,188,358.07/1,972.24
  6. Step 6: Final answer
    x = 1,109.58

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1.5x scale

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.