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Finding the Fourth Proportional to 3,043.20, 4,564.80 and 1,660.80

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Solution

The fourth proportional to 3,043.20, 4,564.80 and 1,660.80 is: 2,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.20 : 4,564.80 = 1,660.80 : x
  2. Step 2: Convert to fraction form
    3,043.20/4,564.80 = 1,660.80/x
  3. Step 3: Cross multiply
    3,043.20x = 4,564.80 × 1,660.80
  4. Step 4: Simplify right side
    3,043.20x = 7,581,219.84
  5. Step 5: Solve for x
    x = 7,581,219.84/3,043.20
  6. Step 6: Final answer
    x = 2,491.20

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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.