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Finding the Fourth Proportional to 2,267.87, 3,403.26 and 969.35

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Solution

The fourth proportional to 2,267.87, 3,403.26 and 969.35 is: 1,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.87 : 3,403.26 = 969.35 : x
  2. Step 2: Convert to fraction form
    2,267.87/3,403.26 = 969.35/x
  3. Step 3: Cross multiply
    2,267.87x = 3,403.26 × 969.35
  4. Step 4: Simplify right side
    2,267.87x = 3,298,933.06
  5. Step 5: Solve for x
    x = 3,298,933.06/2,267.87
  6. Step 6: Final answer
    x = 1,454.64

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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.