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Finding the Fourth Proportional to 1,709.44, 2,356.32 and 1,414.24

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Solution

The fourth proportional to 1,709.44, 2,356.32 and 1,414.24 is: 1,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.44 : 2,356.32 = 1,414.24 : x
  2. Step 2: Convert to fraction form
    1,709.44/2,356.32 = 1,414.24/x
  3. Step 3: Cross multiply
    1,709.44x = 2,356.32 × 1,414.24
  4. Step 4: Simplify right side
    1,709.44x = 3,332,402.00
  5. Step 5: Solve for x
    x = 3,332,402.00/1,709.44
  6. Step 6: Final answer
    x = 1,949.41

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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.