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Finding the Fourth Proportional to 1,975.97, 2,963.97 and 515.14

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Solution

The fourth proportional to 1,975.97, 2,963.97 and 515.14 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.97 : 2,963.97 = 515.14 : x
  2. Step 2: Convert to fraction form
    1,975.97/2,963.97 = 515.14/x
  3. Step 3: Cross multiply
    1,975.97x = 2,963.97 × 515.14
  4. Step 4: Simplify right side
    1,975.97x = 1,526,852.10
  5. Step 5: Solve for x
    x = 1,526,852.10/1,975.97
  6. Step 6: Final answer
    x = 772.71

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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.