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Finding the Fourth Proportional to 2,785.78, 4,179.89 and 1,054

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Solution

The fourth proportional to 2,785.78, 4,179.89 and 1,054 is: 1,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.78 : 4,179.89 = 1,054 : x
  2. Step 2: Convert to fraction form
    2,785.78/4,179.89 = 1,054/x
  3. Step 3: Cross multiply
    2,785.78x = 4,179.89 × 1,054
  4. Step 4: Simplify right side
    2,785.78x = 4,405,604.06
  5. Step 5: Solve for x
    x = 4,405,604.06/2,785.78
  6. Step 6: Final answer
    x = 1,581.46

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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.