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Finding the Fourth Proportional to 2,638.44, 3,956.94 and 883.51

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Solution

The fourth proportional to 2,638.44, 3,956.94 and 883.51 is: 1,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.44 : 3,956.94 = 883.51 : x
  2. Step 2: Convert to fraction form
    2,638.44/3,956.94 = 883.51/x
  3. Step 3: Cross multiply
    2,638.44x = 3,956.94 × 883.51
  4. Step 4: Simplify right side
    2,638.44x = 3,495,986.17
  5. Step 5: Solve for x
    x = 3,495,986.17/2,638.44
  6. Step 6: Final answer
    x = 1,325.02

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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.