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Finding the Fourth Proportional to 1,971.10, 2,720.28 and 1,086.99

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Solution

The fourth proportional to 1,971.10, 2,720.28 and 1,086.99 is: 1,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.10 : 2,720.28 = 1,086.99 : x
  2. Step 2: Convert to fraction form
    1,971.10/2,720.28 = 1,086.99/x
  3. Step 3: Cross multiply
    1,971.10x = 2,720.28 × 1,086.99
  4. Step 4: Simplify right side
    1,971.10x = 2,956,917.16
  5. Step 5: Solve for x
    x = 2,956,917.16/1,971.10
  6. Step 6: Final answer
    x = 1,500.14

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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.