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Finding the Fourth Proportional to 2,557.20, 3,835.89 and 683.07

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Solution

The fourth proportional to 2,557.20, 3,835.89 and 683.07 is: 1,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.20 : 3,835.89 = 683.07 : x
  2. Step 2: Convert to fraction form
    2,557.20/3,835.89 = 683.07/x
  3. Step 3: Cross multiply
    2,557.20x = 3,835.89 × 683.07
  4. Step 4: Simplify right side
    2,557.20x = 2,620,181.38
  5. Step 5: Solve for x
    x = 2,620,181.38/2,557.20
  6. Step 6: Final answer
    x = 1,024.63

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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.