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Finding the Fourth Proportional to 1,998.05, 2,759.04 and 1,253.30

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Solution

The fourth proportional to 1,998.05, 2,759.04 and 1,253.30 is: 1,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.05 : 2,759.04 = 1,253.30 : x
  2. Step 2: Convert to fraction form
    1,998.05/2,759.04 = 1,253.30/x
  3. Step 3: Cross multiply
    1,998.05x = 2,759.04 × 1,253.30
  4. Step 4: Simplify right side
    1,998.05x = 3,457,891.04
  5. Step 5: Solve for x
    x = 3,457,891.04/1,998.05
  6. Step 6: Final answer
    x = 1,730.64

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Double scale
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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.