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Finding the Fourth Proportional to 1,391.26, 2,086.90 and 417.24

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Solution

The fourth proportional to 1,391.26, 2,086.90 and 417.24 is: 625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.26 : 2,086.90 = 417.24 : x
  2. Step 2: Convert to fraction form
    1,391.26/2,086.90 = 417.24/x
  3. Step 3: Cross multiply
    1,391.26x = 2,086.90 × 417.24
  4. Step 4: Simplify right side
    1,391.26x = 870,738.16
  5. Step 5: Solve for x
    x = 870,738.16/1,391.26
  6. Step 6: Final answer
    x = 625.86

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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.