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Finding the Fourth Proportional to 2,444.21, 3,665.01 and 800.54

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Solution

The fourth proportional to 2,444.21, 3,665.01 and 800.54 is: 1,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.21 : 3,665.01 = 800.54 : x
  2. Step 2: Convert to fraction form
    2,444.21/3,665.01 = 800.54/x
  3. Step 3: Cross multiply
    2,444.21x = 3,665.01 × 800.54
  4. Step 4: Simplify right side
    2,444.21x = 2,933,968.78
  5. Step 5: Solve for x
    x = 2,933,968.78/2,444.21
  6. Step 6: Final answer
    x = 1,200.38

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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.