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Finding the Fourth Proportional to 1,389.37, 1,917.54 and 865.57

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Solution

The fourth proportional to 1,389.37, 1,917.54 and 865.57 is: 1,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.37 : 1,917.54 = 865.57 : x
  2. Step 2: Convert to fraction form
    1,389.37/1,917.54 = 865.57/x
  3. Step 3: Cross multiply
    1,389.37x = 1,917.54 × 865.57
  4. Step 4: Simplify right side
    1,389.37x = 1,659,765.10
  5. Step 5: Solve for x
    x = 1,659,765.10/1,389.37
  6. Step 6: Final answer
    x = 1,194.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.