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Finding the Fourth Proportional to 2,702.83, 4,054.24 and 2,087.43

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Solution

The fourth proportional to 2,702.83, 4,054.24 and 2,087.43 is: 3,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.83 : 4,054.24 = 2,087.43 : x
  2. Step 2: Convert to fraction form
    2,702.83/4,054.24 = 2,087.43/x
  3. Step 3: Cross multiply
    2,702.83x = 4,054.24 × 2,087.43
  4. Step 4: Simplify right side
    2,702.83x = 8,462,942.20
  5. Step 5: Solve for x
    x = 8,462,942.20/2,702.83
  6. Step 6: Final answer
    x = 3,131.14

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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.