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Finding the Fourth Proportional to 3,022.68, 4,535.29 and 1,706.60

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Solution

The fourth proportional to 3,022.68, 4,535.29 and 1,706.60 is: 2,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.68 : 4,535.29 = 1,706.60 : x
  2. Step 2: Convert to fraction form
    3,022.68/4,535.29 = 1,706.60/x
  3. Step 3: Cross multiply
    3,022.68x = 4,535.29 × 1,706.60
  4. Step 4: Simplify right side
    3,022.68x = 7,739,939.39
  5. Step 5: Solve for x
    x = 7,739,939.39/3,022.68
  6. Step 6: Final answer
    x = 2,560.62

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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.