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Finding the Fourth Proportional to 2,785.70, 4,178.46 and 1,142.22

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Solution

The fourth proportional to 2,785.70, 4,178.46 and 1,142.22 is: 1,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.70 : 4,178.46 = 1,142.22 : x
  2. Step 2: Convert to fraction form
    2,785.70/4,178.46 = 1,142.22/x
  3. Step 3: Cross multiply
    2,785.70x = 4,178.46 × 1,142.22
  4. Step 4: Simplify right side
    2,785.70x = 4,772,720.58
  5. Step 5: Solve for x
    x = 4,772,720.58/2,785.70
  6. Step 6: Final answer
    x = 1,713.29

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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.