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Finding the Fourth Proportional to 1,843.49, 2,544.05 and 1,057.54

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Solution

The fourth proportional to 1,843.49, 2,544.05 and 1,057.54 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.49 : 2,544.05 = 1,057.54 : x
  2. Step 2: Convert to fraction form
    1,843.49/2,544.05 = 1,057.54/x
  3. Step 3: Cross multiply
    1,843.49x = 2,544.05 × 1,057.54
  4. Step 4: Simplify right side
    1,843.49x = 2,690,434.64
  5. Step 5: Solve for x
    x = 2,690,434.64/1,843.49
  6. Step 6: Final answer
    x = 1,459.42

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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.