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Finding the Fourth Proportional to 1,825.68, 2,519.46 and 997.68

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Solution

The fourth proportional to 1,825.68, 2,519.46 and 997.68 is: 1,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.68 : 2,519.46 = 997.68 : x
  2. Step 2: Convert to fraction form
    1,825.68/2,519.46 = 997.68/x
  3. Step 3: Cross multiply
    1,825.68x = 2,519.46 × 997.68
  4. Step 4: Simplify right side
    1,825.68x = 2,513,614.85
  5. Step 5: Solve for x
    x = 2,513,614.85/1,825.68
  6. Step 6: Final answer
    x = 1,376.81

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1.5x scale

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.