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Finding the Fourth Proportional to 1,861.26, 2,785.90 and 982.51

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Solution

The fourth proportional to 1,861.26, 2,785.90 and 982.51 is: 1,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.26 : 2,785.90 = 982.51 : x
  2. Step 2: Convert to fraction form
    1,861.26/2,785.90 = 982.51/x
  3. Step 3: Cross multiply
    1,861.26x = 2,785.90 × 982.51
  4. Step 4: Simplify right side
    1,861.26x = 2,737,174.87
  5. Step 5: Solve for x
    x = 2,737,174.87/1,861.26
  6. Step 6: Final answer
    x = 1,470.60

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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.