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Finding the Fourth Proportional to 2,063.40, 3,092.40 and 1,831.20

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Solution

The fourth proportional to 2,063.40, 3,092.40 and 1,831.20 is: 2,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.40 : 3,092.40 = 1,831.20 : x
  2. Step 2: Convert to fraction form
    2,063.40/3,092.40 = 1,831.20/x
  3. Step 3: Cross multiply
    2,063.40x = 3,092.40 × 1,831.20
  4. Step 4: Simplify right side
    2,063.40x = 5,662,802.88
  5. Step 5: Solve for x
    x = 5,662,802.88/2,063.40
  6. Step 6: Final answer
    x = 2,744.40

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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.