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Finding the Fourth Proportional to 2,069.70, 3,104.85 and 974.10

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Solution

The fourth proportional to 2,069.70, 3,104.85 and 974.10 is: 1,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.70 : 3,104.85 = 974.10 : x
  2. Step 2: Convert to fraction form
    2,069.70/3,104.85 = 974.10/x
  3. Step 3: Cross multiply
    2,069.70x = 3,104.85 × 974.10
  4. Step 4: Simplify right side
    2,069.70x = 3,024,434.39
  5. Step 5: Solve for x
    x = 3,024,434.39/2,069.70
  6. Step 6: Final answer
    x = 1,461.29

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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.