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Finding the Fourth Proportional to 1,814.71, 2,722.59 and 582.09

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Solution

The fourth proportional to 1,814.71, 2,722.59 and 582.09 is: 873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.71 : 2,722.59 = 582.09 : x
  2. Step 2: Convert to fraction form
    1,814.71/2,722.59 = 582.09/x
  3. Step 3: Cross multiply
    1,814.71x = 2,722.59 × 582.09
  4. Step 4: Simplify right side
    1,814.71x = 1,584,792.41
  5. Step 5: Solve for x
    x = 1,584,792.41/1,814.71
  6. Step 6: Final answer
    x = 873.31

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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.