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Finding the Fourth Proportional to 1,992.30, 2,749.70 and 1,152.86

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Solution

The fourth proportional to 1,992.30, 2,749.70 and 1,152.86 is: 1,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.30 : 2,749.70 = 1,152.86 : x
  2. Step 2: Convert to fraction form
    1,992.30/2,749.70 = 1,152.86/x
  3. Step 3: Cross multiply
    1,992.30x = 2,749.70 × 1,152.86
  4. Step 4: Simplify right side
    1,992.30x = 3,170,008.28
  5. Step 5: Solve for x
    x = 3,170,008.28/1,992.30
  6. Step 6: Final answer
    x = 1,591.13

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