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Finding the Fourth Proportional to 1,975.93, 2,963.81 and 515.05

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Solution

The fourth proportional to 1,975.93, 2,963.81 and 515.05 is: 772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.93 : 2,963.81 = 515.05 : x
  2. Step 2: Convert to fraction form
    1,975.93/2,963.81 = 515.05/x
  3. Step 3: Cross multiply
    1,975.93x = 2,963.81 × 515.05
  4. Step 4: Simplify right side
    1,975.93x = 1,526,504.22
  5. Step 5: Solve for x
    x = 1,526,504.22/1,975.93
  6. Step 6: Final answer
    x = 772.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.