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Finding the Fourth Proportional to 2,788.94, 4,182.74 and 814.05

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Solution

The fourth proportional to 2,788.94, 4,182.74 and 814.05 is: 1,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.94 : 4,182.74 = 814.05 : x
  2. Step 2: Convert to fraction form
    2,788.94/4,182.74 = 814.05/x
  3. Step 3: Cross multiply
    2,788.94x = 4,182.74 × 814.05
  4. Step 4: Simplify right side
    2,788.94x = 3,404,955.43
  5. Step 5: Solve for x
    x = 3,404,955.43/2,788.94
  6. Step 6: Final answer
    x = 1,220.88

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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.