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Finding the Fourth Proportional to 1,724.07, 2,584.56 and 683.38

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Solution

The fourth proportional to 1,724.07, 2,584.56 and 683.38 is: 1,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.07 : 2,584.56 = 683.38 : x
  2. Step 2: Convert to fraction form
    1,724.07/2,584.56 = 683.38/x
  3. Step 3: Cross multiply
    1,724.07x = 2,584.56 × 683.38
  4. Step 4: Simplify right side
    1,724.07x = 1,766,223.69
  5. Step 5: Solve for x
    x = 1,766,223.69/1,724.07
  6. Step 6: Final answer
    x = 1,024.45

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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.