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Finding the Fourth Proportional to 2,267.90, 3,403.32 and 969.34

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Solution

The fourth proportional to 2,267.90, 3,403.32 and 969.34 is: 1,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.90 : 3,403.32 = 969.34 : x
  2. Step 2: Convert to fraction form
    2,267.90/3,403.32 = 969.34/x
  3. Step 3: Cross multiply
    2,267.90x = 3,403.32 × 969.34
  4. Step 4: Simplify right side
    2,267.90x = 3,298,974.21
  5. Step 5: Solve for x
    x = 3,298,974.21/2,267.90
  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.