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Finding the Fourth Proportional to 2,024.97, 3,036.62 and 792.21

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Solution

The fourth proportional to 2,024.97, 3,036.62 and 792.21 is: 1,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.97 : 3,036.62 = 792.21 : x
  2. Step 2: Convert to fraction form
    2,024.97/3,036.62 = 792.21/x
  3. Step 3: Cross multiply
    2,024.97x = 3,036.62 × 792.21
  4. Step 4: Simplify right side
    2,024.97x = 2,405,636.77
  5. Step 5: Solve for x
    x = 2,405,636.77/2,024.97
  6. Step 6: Final answer
    x = 1,187.99

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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.