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Finding the Fourth Proportional to 3,175.62, 4,382.34 and 1,831.22

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Solution

The fourth proportional to 3,175.62, 4,382.34 and 1,831.22 is: 2,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.62 : 4,382.34 = 1,831.22 : x
  2. Step 2: Convert to fraction form
    3,175.62/4,382.34 = 1,831.22/x
  3. Step 3: Cross multiply
    3,175.62x = 4,382.34 × 1,831.22
  4. Step 4: Simplify right side
    3,175.62x = 8,025,026.61
  5. Step 5: Solve for x
    x = 8,025,026.61/3,175.62
  6. Step 6: Final answer
    x = 2,527.08

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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.