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Finding the Fourth Proportional to 2,834.53, 4,251.56 and 985.33

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Solution

The fourth proportional to 2,834.53, 4,251.56 and 985.33 is: 1,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.53 : 4,251.56 = 985.33 : x
  2. Step 2: Convert to fraction form
    2,834.53/4,251.56 = 985.33/x
  3. Step 3: Cross multiply
    2,834.53x = 4,251.56 × 985.33
  4. Step 4: Simplify right side
    2,834.53x = 4,189,184.69
  5. Step 5: Solve for x
    x = 4,189,184.69/2,834.53
  6. Step 6: Final answer
    x = 1,477.91

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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.