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Finding the Fourth Proportional to 1,814.06, 2,720.91 and 582.36

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Solution

The fourth proportional to 1,814.06, 2,720.91 and 582.36 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.06 : 2,720.91 = 582.36 : x
  2. Step 2: Convert to fraction form
    1,814.06/2,720.91 = 582.36/x
  3. Step 3: Cross multiply
    1,814.06x = 2,720.91 × 582.36
  4. Step 4: Simplify right side
    1,814.06x = 1,584,549.15
  5. Step 5: Solve for x
    x = 1,584,549.15/1,814.06
  6. Step 6: Final answer
    x = 873.48

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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.