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Finding the Fourth Proportional to 3,098.70, 4,645.62 and 2,121.84

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Solution

The fourth proportional to 3,098.70, 4,645.62 and 2,121.84 is: 3,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.70 : 4,645.62 = 2,121.84 : x
  2. Step 2: Convert to fraction form
    3,098.70/4,645.62 = 2,121.84/x
  3. Step 3: Cross multiply
    3,098.70x = 4,645.62 × 2,121.84
  4. Step 4: Simplify right side
    3,098.70x = 9,857,262.34
  5. Step 5: Solve for x
    x = 9,857,262.34/3,098.70
  6. Step 6: Final answer
    x = 3,181.10

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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.