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Finding the Fourth Proportional to 2,458.62, 3,686.09 and 2,211.09

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Solution

The fourth proportional to 2,458.62, 3,686.09 and 2,211.09 is: 3,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.62 : 3,686.09 = 2,211.09 : x
  2. Step 2: Convert to fraction form
    2,458.62/3,686.09 = 2,211.09/x
  3. Step 3: Cross multiply
    2,458.62x = 3,686.09 × 2,211.09
  4. Step 4: Simplify right side
    2,458.62x = 8,150,276.74
  5. Step 5: Solve for x
    x = 8,150,276.74/2,458.62
  6. Step 6: Final answer
    x = 3,314.98

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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.