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Finding the Fourth Proportional to 2,834.40, 4,251.60 and 984.90

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Solution

The fourth proportional to 2,834.40, 4,251.60 and 984.90 is: 1,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.40 : 4,251.60 = 984.90 : x
  2. Step 2: Convert to fraction form
    2,834.40/4,251.60 = 984.90/x
  3. Step 3: Cross multiply
    2,834.40x = 4,251.60 × 984.90
  4. Step 4: Simplify right side
    2,834.40x = 4,187,400.84
  5. Step 5: Solve for x
    x = 4,187,400.84/2,834.40
  6. Step 6: Final answer
    x = 1,477.35

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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.