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Finding the Fourth Proportional to 1,681.97, 2,519.07 and 1,288.99

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Solution

The fourth proportional to 1,681.97, 2,519.07 and 1,288.99 is: 1,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.97 : 2,519.07 = 1,288.99 : x
  2. Step 2: Convert to fraction form
    1,681.97/2,519.07 = 1,288.99/x
  3. Step 3: Cross multiply
    1,681.97x = 2,519.07 × 1,288.99
  4. Step 4: Simplify right side
    1,681.97x = 3,247,049.74
  5. Step 5: Solve for x
    x = 3,247,049.74/1,681.97
  6. Step 6: Final answer
    x = 1,930.50

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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.