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Finding the Fourth Proportional to 2,054.15, 3,081.52 and 667.16

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Solution

The fourth proportional to 2,054.15, 3,081.52 and 667.16 is: 1,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.15 : 3,081.52 = 667.16 : x
  2. Step 2: Convert to fraction form
    2,054.15/3,081.52 = 667.16/x
  3. Step 3: Cross multiply
    2,054.15x = 3,081.52 × 667.16
  4. Step 4: Simplify right side
    2,054.15x = 2,055,866.88
  5. Step 5: Solve for x
    x = 2,055,866.88/2,054.15
  6. Step 6: Final answer
    x = 1,000.84

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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.