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Finding the Fourth Proportional to 1,952.52, 2,926.97 and 718.99

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Solution

The fourth proportional to 1,952.52, 2,926.97 and 718.99 is: 1,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.52 : 2,926.97 = 718.99 : x
  2. Step 2: Convert to fraction form
    1,952.52/2,926.97 = 718.99/x
  3. Step 3: Cross multiply
    1,952.52x = 2,926.97 × 718.99
  4. Step 4: Simplify right side
    1,952.52x = 2,104,453.94
  5. Step 5: Solve for x
    x = 2,104,453.94/1,952.52
  6. Step 6: Final answer
    x = 1,077.82

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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.