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Finding the Fourth Proportional to 2,951.10, 4,073.29 and 1,831.41

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Solution

The fourth proportional to 2,951.10, 4,073.29 and 1,831.41 is: 2,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.10 : 4,073.29 = 1,831.41 : x
  2. Step 2: Convert to fraction form
    2,951.10/4,073.29 = 1,831.41/x
  3. Step 3: Cross multiply
    2,951.10x = 4,073.29 × 1,831.41
  4. Step 4: Simplify right side
    2,951.10x = 7,459,859.46
  5. Step 5: Solve for x
    x = 7,459,859.46/2,951.10
  6. Step 6: Final answer
    x = 2,527.82

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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.