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Finding the Fourth Proportional to 2,535.60, 3,800.96 and 803.82

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Solution

The fourth proportional to 2,535.60, 3,800.96 and 803.82 is: 1,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.60 : 3,800.96 = 803.82 : x
  2. Step 2: Convert to fraction form
    2,535.60/3,800.96 = 803.82/x
  3. Step 3: Cross multiply
    2,535.60x = 3,800.96 × 803.82
  4. Step 4: Simplify right side
    2,535.60x = 3,055,287.67
  5. Step 5: Solve for x
    x = 3,055,287.67/2,535.60
  6. Step 6: Final answer
    x = 1,204.96

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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.