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Finding the Fourth Proportional to 1,677.89, 2,516.97 and 582.23

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Solution

The fourth proportional to 1,677.89, 2,516.97 and 582.23 is: 873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.89 : 2,516.97 = 582.23 : x
  2. Step 2: Convert to fraction form
    1,677.89/2,516.97 = 582.23/x
  3. Step 3: Cross multiply
    1,677.89x = 2,516.97 × 582.23
  4. Step 4: Simplify right side
    1,677.89x = 1,465,455.44
  5. Step 5: Solve for x
    x = 1,465,455.44/1,677.89
  6. Step 6: Final answer
    x = 873.39

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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.