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Finding the Fourth Proportional to 2,267.30, 3,400.95 and 968.90

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Solution

The fourth proportional to 2,267.30, 3,400.95 and 968.90 is: 1,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.30 : 3,400.95 = 968.90 : x
  2. Step 2: Convert to fraction form
    2,267.30/3,400.95 = 968.90/x
  3. Step 3: Cross multiply
    2,267.30x = 3,400.95 × 968.90
  4. Step 4: Simplify right side
    2,267.30x = 3,295,180.46
  5. Step 5: Solve for x
    x = 3,295,180.46/2,267.30
  6. Step 6: Final answer
    x = 1,453.35

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