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Finding the Fourth Proportional to 2,444.64, 3,667.53 and 801.18

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Solution

The fourth proportional to 2,444.64, 3,667.53 and 801.18 is: 1,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.64 : 3,667.53 = 801.18 : x
  2. Step 2: Convert to fraction form
    2,444.64/3,667.53 = 801.18/x
  3. Step 3: Cross multiply
    2,444.64x = 3,667.53 × 801.18
  4. Step 4: Simplify right side
    2,444.64x = 2,938,351.69
  5. Step 5: Solve for x
    x = 2,938,351.69/2,444.64
  6. Step 6: Final answer
    x = 1,201.96

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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.