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Finding the Fourth Proportional to 2,085.25, 3,128.30 and 931

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Solution

The fourth proportional to 2,085.25, 3,128.30 and 931 is: 1,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.25 : 3,128.30 = 931 : x
  2. Step 2: Convert to fraction form
    2,085.25/3,128.30 = 931/x
  3. Step 3: Cross multiply
    2,085.25x = 3,128.30 × 931
  4. Step 4: Simplify right side
    2,085.25x = 2,912,447.30
  5. Step 5: Solve for x
    x = 2,912,447.30/2,085.25
  6. Step 6: Final answer
    x = 1,396.69

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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.