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Finding the Fourth Proportional to 3,394.65, 4,686.80 and 2,137.44

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Solution

The fourth proportional to 3,394.65, 4,686.80 and 2,137.44 is: 2,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.65 : 4,686.80 = 2,137.44 : x
  2. Step 2: Convert to fraction form
    3,394.65/4,686.80 = 2,137.44/x
  3. Step 3: Cross multiply
    3,394.65x = 4,686.80 × 2,137.44
  4. Step 4: Simplify right side
    3,394.65x = 10,017,743.10
  5. Step 5: Solve for x
    x = 10,017,743.10/3,394.65
  6. Step 6: Final answer
    x = 2,951.04

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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.