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Finding the Fourth Proportional to 1,259.75, 1,891.15 and 1,228.37

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Solution

The fourth proportional to 1,259.75, 1,891.15 and 1,228.37 is: 1,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.75 : 1,891.15 = 1,228.37 : x
  2. Step 2: Convert to fraction form
    1,259.75/1,891.15 = 1,228.37/x
  3. Step 3: Cross multiply
    1,259.75x = 1,891.15 × 1,228.37
  4. Step 4: Simplify right side
    1,259.75x = 2,323,019.40
  5. Step 5: Solve for x
    x = 2,323,019.40/1,259.75
  6. Step 6: Final answer
    x = 1,844.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.