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Finding the Fourth Proportional to 2,068.59, 3,086.09 and 1,899.24

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Solution

The fourth proportional to 2,068.59, 3,086.09 and 1,899.24 is: 2,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.59 : 3,086.09 = 1,899.24 : x
  2. Step 2: Convert to fraction form
    2,068.59/3,086.09 = 1,899.24/x
  3. Step 3: Cross multiply
    2,068.59x = 3,086.09 × 1,899.24
  4. Step 4: Simplify right side
    2,068.59x = 5,861,225.57
  5. Step 5: Solve for x
    x = 5,861,225.57/2,068.59
  6. Step 6: Final answer
    x = 2,833.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.