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Finding the Fourth Proportional to 2,551.72, 3,828.48 and 1,253.92

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Solution

The fourth proportional to 2,551.72, 3,828.48 and 1,253.92 is: 1,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.72 : 3,828.48 = 1,253.92 : x
  2. Step 2: Convert to fraction form
    2,551.72/3,828.48 = 1,253.92/x
  3. Step 3: Cross multiply
    2,551.72x = 3,828.48 × 1,253.92
  4. Step 4: Simplify right side
    2,551.72x = 4,800,607.64
  5. Step 5: Solve for x
    x = 4,800,607.64/2,551.72
  6. Step 6: Final answer
    x = 1,881.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.