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Finding the Fourth Proportional to 1,992.88, 2,750.02 and 1,153.59

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Solution

The fourth proportional to 1,992.88, 2,750.02 and 1,153.59 is: 1,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.88 : 2,750.02 = 1,153.59 : x
  2. Step 2: Convert to fraction form
    1,992.88/2,750.02 = 1,153.59/x
  3. Step 3: Cross multiply
    1,992.88x = 2,750.02 × 1,153.59
  4. Step 4: Simplify right side
    1,992.88x = 3,172,395.57
  5. Step 5: Solve for x
    x = 3,172,395.57/1,992.88
  6. Step 6: Final answer
    x = 1,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.