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Finding the Fourth Proportional to 2,638.84, 3,956.91 and 1,406.92

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Solution

The fourth proportional to 2,638.84, 3,956.91 and 1,406.92 is: 2,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.84 : 3,956.91 = 1,406.92 : x
  2. Step 2: Convert to fraction form
    2,638.84/3,956.91 = 1,406.92/x
  3. Step 3: Cross multiply
    2,638.84x = 3,956.91 × 1,406.92
  4. Step 4: Simplify right side
    2,638.84x = 5,567,055.82
  5. Step 5: Solve for x
    x = 5,567,055.82/2,638.84
  6. Step 6: Final answer
    x = 2,109.66

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