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Finding the Fourth Proportional to 2,831.40, 4,242.30 and 1,367.40

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Solution

The fourth proportional to 2,831.40, 4,242.30 and 1,367.40 is: 2,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.40 : 4,242.30 = 1,367.40 : x
  2. Step 2: Convert to fraction form
    2,831.40/4,242.30 = 1,367.40/x
  3. Step 3: Cross multiply
    2,831.40x = 4,242.30 × 1,367.40
  4. Step 4: Simplify right side
    2,831.40x = 5,800,921.02
  5. Step 5: Solve for x
    x = 5,800,921.02/2,831.40
  6. Step 6: Final answer
    x = 2,048.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.