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Finding the Fourth Proportional to 2,253.09, 3,380.10 and 792.36

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Solution

The fourth proportional to 2,253.09, 3,380.10 and 792.36 is: 1,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.09 : 3,380.10 = 792.36 : x
  2. Step 2: Convert to fraction form
    2,253.09/3,380.10 = 792.36/x
  3. Step 3: Cross multiply
    2,253.09x = 3,380.10 × 792.36
  4. Step 4: Simplify right side
    2,253.09x = 2,678,250.24
  5. Step 5: Solve for x
    x = 2,678,250.24/2,253.09
  6. Step 6: Final answer
    x = 1,188.70

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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.