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Finding the Fourth Proportional to 2,553.60, 3,831.60 and 1,256

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Solution

The fourth proportional to 2,553.60, 3,831.60 and 1,256 is: 1,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.60 : 3,831.60 = 1,256 : x
  2. Step 2: Convert to fraction form
    2,553.60/3,831.60 = 1,256/x
  3. Step 3: Cross multiply
    2,553.60x = 3,831.60 × 1,256
  4. Step 4: Simplify right side
    2,553.60x = 4,812,489.60
  5. Step 5: Solve for x
    x = 4,812,489.60/2,553.60
  6. Step 6: Final answer
    x = 1,884.59

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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.