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Finding the Fourth Proportional to 3,267.60, 4,905.09 and 1,321.17

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Solution

The fourth proportional to 3,267.60, 4,905.09 and 1,321.17 is: 1,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.60 : 4,905.09 = 1,321.17 : x
  2. Step 2: Convert to fraction form
    3,267.60/4,905.09 = 1,321.17/x
  3. Step 3: Cross multiply
    3,267.60x = 4,905.09 × 1,321.17
  4. Step 4: Simplify right side
    3,267.60x = 6,480,457.76
  5. Step 5: Solve for x
    x = 6,480,457.76/3,267.60
  6. Step 6: Final answer
    x = 1,983.25

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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.