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Finding the Fourth Proportional to 1,814.86, 2,722.70 and 582.38

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Solution

The fourth proportional to 1,814.86, 2,722.70 and 582.38 is: 873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.86 : 2,722.70 = 582.38 : x
  2. Step 2: Convert to fraction form
    1,814.86/2,722.70 = 582.38/x
  3. Step 3: Cross multiply
    1,814.86x = 2,722.70 × 582.38
  4. Step 4: Simplify right side
    1,814.86x = 1,585,646.03
  5. Step 5: Solve for x
    x = 1,585,646.03/1,814.86
  6. Step 6: Final answer
    x = 873.70

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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.