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Finding the Fourth Proportional to 2,086.12, 2,881 and 1,805.01

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Solution

The fourth proportional to 2,086.12, 2,881 and 1,805.01 is: 2,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.12 : 2,881 = 1,805.01 : x
  2. Step 2: Convert to fraction form
    2,086.12/2,881 = 1,805.01/x
  3. Step 3: Cross multiply
    2,086.12x = 2,881 × 1,805.01
  4. Step 4: Simplify right side
    2,086.12x = 5,200,233.81
  5. Step 5: Solve for x
    x = 5,200,233.81/2,086.12
  6. Step 6: Final answer
    x = 2,492.78

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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.