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Finding the Fourth Proportional to 2,285.52, 3,428.26 and 899.24

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Solution

The fourth proportional to 2,285.52, 3,428.26 and 899.24 is: 1,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.52 : 3,428.26 = 899.24 : x
  2. Step 2: Convert to fraction form
    2,285.52/3,428.26 = 899.24/x
  3. Step 3: Cross multiply
    2,285.52x = 3,428.26 × 899.24
  4. Step 4: Simplify right side
    2,285.52x = 3,082,828.52
  5. Step 5: Solve for x
    x = 3,082,828.52/2,285.52
  6. Step 6: Final answer
    x = 1,348.85

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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.