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Finding the Fourth Proportional to 1,992.67, 2,749.38 and 1,153.10

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Solution

The fourth proportional to 1,992.67, 2,749.38 and 1,153.10 is: 1,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.67 : 2,749.38 = 1,153.10 : x
  2. Step 2: Convert to fraction form
    1,992.67/2,749.38 = 1,153.10/x
  3. Step 3: Cross multiply
    1,992.67x = 2,749.38 × 1,153.10
  4. Step 4: Simplify right side
    1,992.67x = 3,170,310.08
  5. Step 5: Solve for x
    x = 3,170,310.08/1,992.67
  6. Step 6: Final answer
    x = 1,590.99

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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.