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Finding the Fourth Proportional to 2,638.44, 3,956.34 and 882.84

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Solution

The fourth proportional to 2,638.44, 3,956.34 and 882.84 is: 1,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.44 : 3,956.34 = 882.84 : x
  2. Step 2: Convert to fraction form
    2,638.44/3,956.34 = 882.84/x
  3. Step 3: Cross multiply
    2,638.44x = 3,956.34 × 882.84
  4. Step 4: Simplify right side
    2,638.44x = 3,492,815.21
  5. Step 5: Solve for x
    x = 3,492,815.21/2,638.44
  6. Step 6: Final answer
    x = 1,323.82

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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.