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Finding the Fourth Proportional to 2,241.69, 3,362.55 and 1,267.57

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Solution

The fourth proportional to 2,241.69, 3,362.55 and 1,267.57 is: 1,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.69 : 3,362.55 = 1,267.57 : x
  2. Step 2: Convert to fraction form
    2,241.69/3,362.55 = 1,267.57/x
  3. Step 3: Cross multiply
    2,241.69x = 3,362.55 × 1,267.57
  4. Step 4: Simplify right side
    2,241.69x = 4,262,267.50
  5. Step 5: Solve for x
    x = 4,262,267.50/2,241.69
  6. Step 6: Final answer
    x = 1,901.36

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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.