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Finding the Fourth Proportional to 3,175.68, 4,382.74 and 1,831.35

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Solution

The fourth proportional to 3,175.68, 4,382.74 and 1,831.35 is: 2,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.68 : 4,382.74 = 1,831.35 : x
  2. Step 2: Convert to fraction form
    3,175.68/4,382.74 = 1,831.35/x
  3. Step 3: Cross multiply
    3,175.68x = 4,382.74 × 1,831.35
  4. Step 4: Simplify right side
    3,175.68x = 8,026,330.90
  5. Step 5: Solve for x
    x = 8,026,330.90/3,175.68
  6. Step 6: Final answer
    x = 2,527.44

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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.