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Finding the Fourth Proportional to 1,783.28, 2,679.03 and 1,264.57

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Solution

The fourth proportional to 1,783.28, 2,679.03 and 1,264.57 is: 1,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.28 : 2,679.03 = 1,264.57 : x
  2. Step 2: Convert to fraction form
    1,783.28/2,679.03 = 1,264.57/x
  3. Step 3: Cross multiply
    1,783.28x = 2,679.03 × 1,264.57
  4. Step 4: Simplify right side
    1,783.28x = 3,387,814.27
  5. Step 5: Solve for x
    x = 3,387,814.27/1,783.28
  6. Step 6: Final answer
    x = 1,899.76

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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.