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Finding the Fourth Proportional to 1,967.57, 2,956.92 and 1,486.43

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Solution

The fourth proportional to 1,967.57, 2,956.92 and 1,486.43 is: 2,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.57 : 2,956.92 = 1,486.43 : x
  2. Step 2: Convert to fraction form
    1,967.57/2,956.92 = 1,486.43/x
  3. Step 3: Cross multiply
    1,967.57x = 2,956.92 × 1,486.43
  4. Step 4: Simplify right side
    1,967.57x = 4,395,254.60
  5. Step 5: Solve for x
    x = 4,395,254.60/1,967.57
  6. Step 6: Final answer
    x = 2,233.85

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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.