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Finding the Fourth Proportional to 2,070.27, 3,105.36 and 974.04

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Solution

The fourth proportional to 2,070.27, 3,105.36 and 974.04 is: 1,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.27 : 3,105.36 = 974.04 : x
  2. Step 2: Convert to fraction form
    2,070.27/3,105.36 = 974.04/x
  3. Step 3: Cross multiply
    2,070.27x = 3,105.36 × 974.04
  4. Step 4: Simplify right side
    2,070.27x = 3,024,744.85
  5. Step 5: Solve for x
    x = 3,024,744.85/2,070.27
  6. Step 6: Final answer
    x = 1,461.04

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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.