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Finding the Fourth Proportional to 2,439.05, 3,658.33 and 683.89

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Solution

The fourth proportional to 2,439.05, 3,658.33 and 683.89 is: 1,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.05 : 3,658.33 = 683.89 : x
  2. Step 2: Convert to fraction form
    2,439.05/3,658.33 = 683.89/x
  3. Step 3: Cross multiply
    2,439.05x = 3,658.33 × 683.89
  4. Step 4: Simplify right side
    2,439.05x = 2,501,887.01
  5. Step 5: Solve for x
    x = 2,501,887.01/2,439.05
  6. Step 6: Final answer
    x = 1,025.77

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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.