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Finding the Fourth Proportional to 1,971.34, 2,720.26 and 1,086.92

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Solution

The fourth proportional to 1,971.34, 2,720.26 and 1,086.92 is: 1,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.34 : 2,720.26 = 1,086.92 : x
  2. Step 2: Convert to fraction form
    1,971.34/2,720.26 = 1,086.92/x
  3. Step 3: Cross multiply
    1,971.34x = 2,720.26 × 1,086.92
  4. Step 4: Simplify right side
    1,971.34x = 2,956,705.00
  5. Step 5: Solve for x
    x = 2,956,705.00/1,971.34
  6. Step 6: Final answer
    x = 1,499.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.