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Finding the Fourth Proportional to 2,285.70, 3,427.10 and 899.19

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Solution

The fourth proportional to 2,285.70, 3,427.10 and 899.19 is: 1,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.70 : 3,427.10 = 899.19 : x
  2. Step 2: Convert to fraction form
    2,285.70/3,427.10 = 899.19/x
  3. Step 3: Cross multiply
    2,285.70x = 3,427.10 × 899.19
  4. Step 4: Simplify right side
    2,285.70x = 3,081,609.55
  5. Step 5: Solve for x
    x = 3,081,609.55/2,285.70
  6. Step 6: Final answer
    x = 1,348.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.