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Finding the Fourth Proportional to 2,553.84, 3,831.13 and 1,236.51

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Solution

The fourth proportional to 2,553.84, 3,831.13 and 1,236.51 is: 1,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.84 : 3,831.13 = 1,236.51 : x
  2. Step 2: Convert to fraction form
    2,553.84/3,831.13 = 1,236.51/x
  3. Step 3: Cross multiply
    2,553.84x = 3,831.13 × 1,236.51
  4. Step 4: Simplify right side
    2,553.84x = 4,737,232.27
  5. Step 5: Solve for x
    x = 4,737,232.27/2,553.84
  6. Step 6: Final answer
    x = 1,854.94

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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.