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Finding the Fourth Proportional to 1,724.80, 2,380.02 and 1,489.12

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Solution

The fourth proportional to 1,724.80, 2,380.02 and 1,489.12 is: 2,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.80 : 2,380.02 = 1,489.12 : x
  2. Step 2: Convert to fraction form
    1,724.80/2,380.02 = 1,489.12/x
  3. Step 3: Cross multiply
    1,724.80x = 2,380.02 × 1,489.12
  4. Step 4: Simplify right side
    1,724.80x = 3,544,135.38
  5. Step 5: Solve for x
    x = 3,544,135.38/1,724.80
  6. Step 6: Final answer
    x = 2,054.81

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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.