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Finding the Fourth Proportional to 2,553.86, 3,831.74 and 1,320.48

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Solution

The fourth proportional to 2,553.86, 3,831.74 and 1,320.48 is: 1,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.86 : 3,831.74 = 1,320.48 : x
  2. Step 2: Convert to fraction form
    2,553.86/3,831.74 = 1,320.48/x
  3. Step 3: Cross multiply
    2,553.86x = 3,831.74 × 1,320.48
  4. Step 4: Simplify right side
    2,553.86x = 5,059,736.04
  5. Step 5: Solve for x
    x = 5,059,736.04/2,553.86
  6. Step 6: Final answer
    x = 1,981.21

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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.