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Finding the Fourth Proportional to 2,444.47, 3,667.24 and 800.96

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Solution

The fourth proportional to 2,444.47, 3,667.24 and 800.96 is: 1,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.47 : 3,667.24 = 800.96 : x
  2. Step 2: Convert to fraction form
    2,444.47/3,667.24 = 800.96/x
  3. Step 3: Cross multiply
    2,444.47x = 3,667.24 × 800.96
  4. Step 4: Simplify right side
    2,444.47x = 2,937,303.38
  5. Step 5: Solve for x
    x = 2,937,303.38/2,444.47
  6. Step 6: Final answer
    x = 1,201.61

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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.