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Finding the Fourth Proportional to 1,678.41, 2,517.65 and 582.81

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Solution

The fourth proportional to 1,678.41, 2,517.65 and 582.81 is: 874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.41 : 2,517.65 = 582.81 : x
  2. Step 2: Convert to fraction form
    1,678.41/2,517.65 = 582.81/x
  3. Step 3: Cross multiply
    1,678.41x = 2,517.65 × 582.81
  4. Step 4: Simplify right side
    1,678.41x = 1,467,311.60
  5. Step 5: Solve for x
    x = 1,467,311.60/1,678.41
  6. Step 6: Final answer
    x = 874.23

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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.