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Finding the Fourth Proportional to 1,843.70, 2,544.48 and 1,057.86

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Solution

The fourth proportional to 1,843.70, 2,544.48 and 1,057.86 is: 1,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.70 : 2,544.48 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    1,843.70/2,544.48 = 1,057.86/x
  3. Step 3: Cross multiply
    1,843.70x = 2,544.48 × 1,057.86
  4. Step 4: Simplify right side
    1,843.70x = 2,691,703.61
  5. Step 5: Solve for x
    x = 2,691,703.61/1,843.70
  6. Step 6: Final answer
    x = 1,459.95

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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.