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Finding the Fourth Proportional to 2,253.65, 3,380.76 and 792.81

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Solution

The fourth proportional to 2,253.65, 3,380.76 and 792.81 is: 1,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.65 : 3,380.76 = 792.81 : x
  2. Step 2: Convert to fraction form
    2,253.65/3,380.76 = 792.81/x
  3. Step 3: Cross multiply
    2,253.65x = 3,380.76 × 792.81
  4. Step 4: Simplify right side
    2,253.65x = 2,680,300.34
  5. Step 5: Solve for x
    x = 2,680,300.34/2,253.65
  6. Step 6: Final answer
    x = 1,189.32

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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.