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Finding the Fourth Proportional to 3,444.16, 5,164.44 and 1,800.24

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Solution

The fourth proportional to 3,444.16, 5,164.44 and 1,800.24 is: 2,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.16 : 5,164.44 = 1,800.24 : x
  2. Step 2: Convert to fraction form
    3,444.16/5,164.44 = 1,800.24/x
  3. Step 3: Cross multiply
    3,444.16x = 5,164.44 × 1,800.24
  4. Step 4: Simplify right side
    3,444.16x = 9,297,231.47
  5. Step 5: Solve for x
    x = 9,297,231.47/3,444.16
  6. Step 6: Final answer
    x = 2,699.42

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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.