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Finding the Fourth Proportional to 2,750.68, 4,126.04 and 804.24

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Solution

The fourth proportional to 2,750.68, 4,126.04 and 804.24 is: 1,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.68 : 4,126.04 = 804.24 : x
  2. Step 2: Convert to fraction form
    2,750.68/4,126.04 = 804.24/x
  3. Step 3: Cross multiply
    2,750.68x = 4,126.04 × 804.24
  4. Step 4: Simplify right side
    2,750.68x = 3,318,326.41
  5. Step 5: Solve for x
    x = 3,318,326.41/2,750.68
  6. Step 6: Final answer
    x = 1,206.37

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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.