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Finding the Fourth Proportional to 1,861.56, 2,568.98 and 1,065.05

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Solution

The fourth proportional to 1,861.56, 2,568.98 and 1,065.05 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.56 : 2,568.98 = 1,065.05 : x
  2. Step 2: Convert to fraction form
    1,861.56/2,568.98 = 1,065.05/x
  3. Step 3: Cross multiply
    1,861.56x = 2,568.98 × 1,065.05
  4. Step 4: Simplify right side
    1,861.56x = 2,736,092.15
  5. Step 5: Solve for x
    x = 2,736,092.15/1,861.56
  6. Step 6: Final answer
    x = 1,469.78

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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.