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Finding the Fourth Proportional to 2,684.10, 3,702.24 and 2,186.76

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Solution

The fourth proportional to 2,684.10, 3,702.24 and 2,186.76 is: 3,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.10 : 3,702.24 = 2,186.76 : x
  2. Step 2: Convert to fraction form
    2,684.10/3,702.24 = 2,186.76/x
  3. Step 3: Cross multiply
    2,684.10x = 3,702.24 × 2,186.76
  4. Step 4: Simplify right side
    2,684.10x = 8,095,910.34
  5. Step 5: Solve for x
    x = 8,095,910.34/2,684.10
  6. Step 6: Final answer
    x = 3,016.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.