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Finding the Fourth Proportional to 1,708.36, 2,356.11 and 1,443.43

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Solution

The fourth proportional to 1,708.36, 2,356.11 and 1,443.43 is: 1,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.36 : 2,356.11 = 1,443.43 : x
  2. Step 2: Convert to fraction form
    1,708.36/2,356.11 = 1,443.43/x
  3. Step 3: Cross multiply
    1,708.36x = 2,356.11 × 1,443.43
  4. Step 4: Simplify right side
    1,708.36x = 3,400,879.86
  5. Step 5: Solve for x
    x = 3,400,879.86/1,708.36
  6. Step 6: Final answer
    x = 1,990.73

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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.