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Finding the Fourth Proportional to 2,108.15, 3,162.57 and 792.01

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Solution

The fourth proportional to 2,108.15, 3,162.57 and 792.01 is: 1,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.15 : 3,162.57 = 792.01 : x
  2. Step 2: Convert to fraction form
    2,108.15/3,162.57 = 792.01/x
  3. Step 3: Cross multiply
    2,108.15x = 3,162.57 × 792.01
  4. Step 4: Simplify right side
    2,108.15x = 2,504,779.16
  5. Step 5: Solve for x
    x = 2,504,779.16/2,108.15
  6. Step 6: Final answer
    x = 1,188.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.