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Finding the Fourth Proportional to 1,677.96, 2,517.26 and 582.28

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Solution

The fourth proportional to 1,677.96, 2,517.26 and 582.28 is: 873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.96 : 2,517.26 = 582.28 : x
  2. Step 2: Convert to fraction form
    1,677.96/2,517.26 = 582.28/x
  3. Step 3: Cross multiply
    1,677.96x = 2,517.26 × 582.28
  4. Step 4: Simplify right side
    1,677.96x = 1,465,750.15
  5. Step 5: Solve for x
    x = 1,465,750.15/1,677.96
  6. Step 6: Final answer
    x = 873.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.