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Finding the Fourth Proportional to 3,175.95, 4,382.76 and 1,759.89

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Solution

The fourth proportional to 3,175.95, 4,382.76 and 1,759.89 is: 2,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.95 : 4,382.76 = 1,759.89 : x
  2. Step 2: Convert to fraction form
    3,175.95/4,382.76 = 1,759.89/x
  3. Step 3: Cross multiply
    3,175.95x = 4,382.76 × 1,759.89
  4. Step 4: Simplify right side
    3,175.95x = 7,713,175.50
  5. Step 5: Solve for x
    x = 7,713,175.50/3,175.95
  6. Step 6: Final answer
    x = 2,428.62

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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.