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Finding the Fourth Proportional to 2,070.62, 3,107.49 and 1,096.94

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Solution

The fourth proportional to 2,070.62, 3,107.49 and 1,096.94 is: 1,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.62 : 3,107.49 = 1,096.94 : x
  2. Step 2: Convert to fraction form
    2,070.62/3,107.49 = 1,096.94/x
  3. Step 3: Cross multiply
    2,070.62x = 3,107.49 × 1,096.94
  4. Step 4: Simplify right side
    2,070.62x = 3,408,730.08
  5. Step 5: Solve for x
    x = 3,408,730.08/2,070.62
  6. Step 6: Final answer
    x = 1,646.24

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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.