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Finding the Fourth Proportional to 2,288.90, 3,433.34 and 557.54

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Solution

The fourth proportional to 2,288.90, 3,433.34 and 557.54 is: 836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.90 : 3,433.34 = 557.54 : x
  2. Step 2: Convert to fraction form
    2,288.90/3,433.34 = 557.54/x
  3. Step 3: Cross multiply
    2,288.90x = 3,433.34 × 557.54
  4. Step 4: Simplify right side
    2,288.90x = 1,914,224.38
  5. Step 5: Solve for x
    x = 1,914,224.38/2,288.90
  6. Step 6: Final answer
    x = 836.31

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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.