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Finding the Fourth Proportional to 2,054.35, 3,080.85 and 667.36

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Solution

The fourth proportional to 2,054.35, 3,080.85 and 667.36 is: 1,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.35 : 3,080.85 = 667.36 : x
  2. Step 2: Convert to fraction form
    2,054.35/3,080.85 = 667.36/x
  3. Step 3: Cross multiply
    2,054.35x = 3,080.85 × 667.36
  4. Step 4: Simplify right side
    2,054.35x = 2,056,036.06
  5. Step 5: Solve for x
    x = 2,056,036.06/2,054.35
  6. Step 6: Final answer
    x = 1,000.82

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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.