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Finding the Fourth Proportional to 1,389.48, 2,086.05 and 930.21

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Solution

The fourth proportional to 1,389.48, 2,086.05 and 930.21 is: 1,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.48 : 2,086.05 = 930.21 : x
  2. Step 2: Convert to fraction form
    1,389.48/2,086.05 = 930.21/x
  3. Step 3: Cross multiply
    1,389.48x = 2,086.05 × 930.21
  4. Step 4: Simplify right side
    1,389.48x = 1,940,464.57
  5. Step 5: Solve for x
    x = 1,940,464.57/1,389.48
  6. Step 6: Final answer
    x = 1,396.54

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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.