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Finding the Fourth Proportional to 2,553.46, 3,827.75 and 1,381.68

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Solution

The fourth proportional to 2,553.46, 3,827.75 and 1,381.68 is: 2,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.46 : 3,827.75 = 1,381.68 : x
  2. Step 2: Convert to fraction form
    2,553.46/3,827.75 = 1,381.68/x
  3. Step 3: Cross multiply
    2,553.46x = 3,827.75 × 1,381.68
  4. Step 4: Simplify right side
    2,553.46x = 5,288,718.71
  5. Step 5: Solve for x
    x = 5,288,718.71/2,553.46
  6. Step 6: Final answer
    x = 2,071.20

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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.