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Finding the Fourth Proportional to 1,814.40, 2,722.38 and 581.91

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Solution

The fourth proportional to 1,814.40, 2,722.38 and 581.91 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.40 : 2,722.38 = 581.91 : x
  2. Step 2: Convert to fraction form
    1,814.40/2,722.38 = 581.91/x
  3. Step 3: Cross multiply
    1,814.40x = 2,722.38 × 581.91
  4. Step 4: Simplify right side
    1,814.40x = 1,584,180.15
  5. Step 5: Solve for x
    x = 1,584,180.15/1,814.40
  6. Step 6: Final answer
    x = 873.12

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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.