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Finding the Fourth Proportional to 2,444.60, 3,667.34 and 801.23

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Solution

The fourth proportional to 2,444.60, 3,667.34 and 801.23 is: 1,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.60 : 3,667.34 = 801.23 : x
  2. Step 2: Convert to fraction form
    2,444.60/3,667.34 = 801.23/x
  3. Step 3: Cross multiply
    2,444.60x = 3,667.34 × 801.23
  4. Step 4: Simplify right side
    2,444.60x = 2,938,360.49
  5. Step 5: Solve for x
    x = 2,938,360.49/2,444.60
  6. Step 6: Final answer
    x = 1,201.98

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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.