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Finding the Fourth Proportional to 2,834.24, 4,251.90 and 985.40

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Solution

The fourth proportional to 2,834.24, 4,251.90 and 985.40 is: 1,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.24 : 4,251.90 = 985.40 : x
  2. Step 2: Convert to fraction form
    2,834.24/4,251.90 = 985.40/x
  3. Step 3: Cross multiply
    2,834.24x = 4,251.90 × 985.40
  4. Step 4: Simplify right side
    2,834.24x = 4,189,822.26
  5. Step 5: Solve for x
    x = 4,189,822.26/2,834.24
  6. Step 6: Final answer
    x = 1,478.29

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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.