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Finding the Fourth Proportional to 3,175.82, 4,382.93 and 1,831.46

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Solution

The fourth proportional to 3,175.82, 4,382.93 and 1,831.46 is: 2,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.82 : 4,382.93 = 1,831.46 : x
  2. Step 2: Convert to fraction form
    3,175.82/4,382.93 = 1,831.46/x
  3. Step 3: Cross multiply
    3,175.82x = 4,382.93 × 1,831.46
  4. Step 4: Simplify right side
    3,175.82x = 8,027,151.82
  5. Step 5: Solve for x
    x = 8,027,151.82/3,175.82
  6. Step 6: Final answer
    x = 2,527.59

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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.