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Finding the Fourth Proportional to 2,638.50, 3,956.93 and 883.09

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Solution

The fourth proportional to 2,638.50, 3,956.93 and 883.09 is: 1,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.50 : 3,956.93 = 883.09 : x
  2. Step 2: Convert to fraction form
    2,638.50/3,956.93 = 883.09/x
  3. Step 3: Cross multiply
    2,638.50x = 3,956.93 × 883.09
  4. Step 4: Simplify right side
    2,638.50x = 3,494,314.18
  5. Step 5: Solve for x
    x = 3,494,314.18/2,638.50
  6. Step 6: Final answer
    x = 1,324.36

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1.5x scale

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.