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Finding the Fourth Proportional to 1,849.14, 2,772.27 and 752.94

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Solution

The fourth proportional to 1,849.14, 2,772.27 and 752.94 is: 1,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.14 : 2,772.27 = 752.94 : x
  2. Step 2: Convert to fraction form
    1,849.14/2,772.27 = 752.94/x
  3. Step 3: Cross multiply
    1,849.14x = 2,772.27 × 752.94
  4. Step 4: Simplify right side
    1,849.14x = 2,087,352.97
  5. Step 5: Solve for x
    x = 2,087,352.97/1,849.14
  6. Step 6: Final answer
    x = 1,128.82

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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.