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Finding the Fourth Proportional to 2,444.15, 3,664.59 and 800.12

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Solution

The fourth proportional to 2,444.15, 3,664.59 and 800.12 is: 1,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.15 : 3,664.59 = 800.12 : x
  2. Step 2: Convert to fraction form
    2,444.15/3,664.59 = 800.12/x
  3. Step 3: Cross multiply
    2,444.15x = 3,664.59 × 800.12
  4. Step 4: Simplify right side
    2,444.15x = 2,932,093.43
  5. Step 5: Solve for x
    x = 2,932,093.43/2,444.15
  6. Step 6: Final answer
    x = 1,199.64

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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.