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Finding the Fourth Proportional to 2,827.13, 4,245.03 and 2,702.34

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Solution

The fourth proportional to 2,827.13, 4,245.03 and 2,702.34 is: 4,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.13 : 4,245.03 = 2,702.34 : x
  2. Step 2: Convert to fraction form
    2,827.13/4,245.03 = 2,702.34/x
  3. Step 3: Cross multiply
    2,827.13x = 4,245.03 × 2,702.34
  4. Step 4: Simplify right side
    2,827.13x = 11,471,514.37
  5. Step 5: Solve for x
    x = 11,471,514.37/2,827.13
  6. Step 6: Final answer
    x = 4,057.66

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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.