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Finding the Fourth Proportional to 4,505.68, 6,759.06 and 1,731.70

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Solution

The fourth proportional to 4,505.68, 6,759.06 and 1,731.70 is: 2,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.68 : 6,759.06 = 1,731.70 : x
  2. Step 2: Convert to fraction form
    4,505.68/6,759.06 = 1,731.70/x
  3. Step 3: Cross multiply
    4,505.68x = 6,759.06 × 1,731.70
  4. Step 4: Simplify right side
    4,505.68x = 11,704,664.20
  5. Step 5: Solve for x
    x = 11,704,664.20/4,505.68
  6. Step 6: Final answer
    x = 2,597.76

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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.