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Finding the Fourth Proportional to 3,457.45, 4,772.19 and 1,966.24

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Solution

The fourth proportional to 3,457.45, 4,772.19 and 1,966.24 is: 2,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.45 : 4,772.19 = 1,966.24 : x
  2. Step 2: Convert to fraction form
    3,457.45/4,772.19 = 1,966.24/x
  3. Step 3: Cross multiply
    3,457.45x = 4,772.19 × 1,966.24
  4. Step 4: Simplify right side
    3,457.45x = 9,383,270.87
  5. Step 5: Solve for x
    x = 9,383,270.87/3,457.45
  6. Step 6: Final answer
    x = 2,713.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.